Dr Haris Skokos

CV

Curriculum vitae in pdf format can be found here: CV

Family name: Skokos
Name: Charalampos (Haris)
Date of birth: 12 Oct. 1968
Place of birth: Sydney, Australia
Marital status: Married, one child

Address at work:
Department of Mathematics and Applied Mathematics
Mathematics Building, Upper Campus
University of Cape Town
Rondebosch, 7701
South Africa
Tel.: +27 021 650 5074
Email: haris.skokos@uct.ac.za

Research interests

  • Nonlinear dynamical systems - Chaotic dynamics - Complex systems
  • Hamiltonian systems
  • Numerical methods for distinguishing between regular and chaotic behavior
  • Symplectic integrators
  • Nonlinear lattices - Disordered systems
  • Numerical methods for locating periodic orbits - Stability and bifurcations of periodic orbits
  • Beam dynamics in particle accelerators
  • Galactic dynamics - Dynamics of barred galaxies
  • Celestial mechanics - Three body problem
  • Normal forms - Formal integrals
  • Discrete breathers - Solitons
  • Ordinary and partial non-linear differential equations

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Education

1997: Ph.D. in Nonlinear Dynamical Systems, Department of Astrophysics, Astronomy and Mechanics, Faculty of Physics, University of Athens, Greece. Graduated with honors (excellent).
Thesis: Numerical and theoretical study of structures in the phase space of dynamical systems with two and three degrees of freedom. Advisor: Prof. G. Contopoulos (Univ. of Athens, Greece).
1990: B.Sc. in Physics, Faculty of Physics, University of Athens, Greece. First class honors (9.11 / maximum 10).
2005: B.Sc in Mathematics, Faculty of Mathematics, University of Athens, Greece. (7.44 / maximum 10).

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Employment

Sept. 2013 – present: University of Cape Town (South Africa), Faculty of Science, Department of Mathematics and Applied Mathematics. Senior Lecturer.

July 2011 – Sept. 2013:

Aristotle University of Thessaloniki (Greece), School of Science, Physics Department. Assistant Professor of Dynamics.

Oct. 2006 - July 2013
and
June 2000 - July 2005

Hellenic Open University (Greece), School of Science and Technology, teaching staff - tutor (annual contracts).
Courses:
Mechanics, Thermodynamics, Electromagnetism (2000 - 2005)
Linear Algebra, Single Variable Calculus, Introduction to Probability Theory, Introduction to Matlab and Mathematica (2006 – 2013).
Feb. 2008 - June 2011 Max Planck Institute for the Physics of Complex Systems (Dresden, Germany), research fellow.
Research project : New Methods for Analyzing the Dynamics of Nonlinear Lattices
Feb. 2006 - Jan. 2008 Observatory of Paris, IMCCE (France), postdoctoral fellow.
Research project: Beam Stability in Modern Light Sources via Frequency Map Analysis (Marie Curie, Intra-European Fellowship, EIF).
Jan. 1999 - Dec. 2005 Academy of Athens (Greece), Research Center for Astronomy and Applied Mathematics, postdoctoral fellow.
Research project: Qualitative and quantitative analysis of chaotic regions of three-dimensional galactic potentials (Jan. 2005 - Dec. 2005). Research project: Study of the orbital structure of barred galaxies in N-body simulations (Jan. 2002 - Dec. 2004). Research project: Theoretical study of galaxies (Jan. 1999 - Dec.2001).
Sept. 2004 - June 2005 Technological Educational Institute of Messolonghi (Greece), Faculty of Management and Economics, Department of Applied Informatics in Management and Finance, Assistant Professor (annual contract).
Courses:
Econometrics – C programming language (lab).
Jan. 2002 - Dec. 2003 University of Patras (Greece), School of Natural Sciences, Department of Mathematics, ‘Karatheodoris’ postdoctoral fellow.
Research project: Chaotic dynamics and statistical behavior of dynamical systems.
Sept. - Oct. 2003, and
Dec. 1998 - July 1999
Teacher of Informatics at "Hellenic Center of Information Technology" (Athens, Greece), a private Educational and Consulting Company specialized in Informatics, Management and Finance.
June 1999 - Dec. 2000 University of Athens (Greece), School of Science, Faculty of Physics, postdoctoral fellow.
Research project: National program of controlled thermonuclear fusion.
Sept. 1999 - Jan. 2000 Scientific collaborator of the private educational organization Ellinogermaniki Agogi S. A. (Athens, Greece).
Research project on applying Open Distance Learning (ODL) in Didactics of Physics: YouRA: Young researchers in action.
Mar. 1997 – Sept. 1998 Greek Army, mandatory military service.
Mar. 1996 - Mar. 1997 University of Athens (Greece), School of Science, Faculty of Physics, Department of Astrophysics, Astronomy and Mechanics, postgraduate student.
Research project
: Gravitational collapse and structure of the phase space.
Dec. 1993 - Dec. 1994 National Observatory of Athens (Greece), Institute of Astronomy, fellow.
May 1993 - Feb. 1994 University of Athens (Greece), School of Science, Faculty of Physics, Department of Astrophysics, Astronomy and Mechanics, postgraduate student.
Research project : Classical and quantum study of dynamical systems of three degrees of freedom.

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Visiting

Laboratoire d'Acoustique de l'Université du Maine,
Le Mans (France). Invited visitor. Collaboration with Dr. Georgios Theocharis
June 22 – June 28, 2015
Nov. 16 – Nov. 21, 2015
Research Center for Astronomy and Applied Mathematics, Academy of Athens,
Athens (Greece).
Invited visitor.
Collaboration with Prof. Panos Patsis
June 14 – July 10, 2015
Max Planck Institute for the Physics of Complex Systems, Dresden (Germany).
Invited visitor.
Collaboration with Dr. Achilleas Lazarides
Jan. 20 – Feb. 20, 2013
May 30 – July 31, 2013
Dec. 13, 2014 – Jan. 18, 2015
Lohrmann Observatory, Technical University Dresden, Dresden (Germany).
Invited visitor.
Collaboration with Dr. Enrico Gerlach
Apr. 28 – May 13, 2013
Nov. 21 – Nov. 27, 2015
Max Planck Institute for the Physics of Complex Systems, Dresden (Germany).
Invited visitor.
Collaboration with Dr. Sergej Flach
Jan. 13 – Feb. 12, 2012
July 16 – Aug. 31, 2012
University of Patras, Center for Research and Application of Nonlinear Systems, Patras (Greece).
Invited visitor.
Collaboration with Prof. Tassos Bountis
June 12 – June 14, 2011
May 27 – May 30, 2011
Apr. 5 – Apr. 8, 2011
Feb. 22 – Feb. 25, 2011
University of Vienna, Institute for Astronomy, Vienna (Austria).
Invited visitor.
Collaboration with Prof. Rudolf Dvorak
Apr. 19 – Apr. 24, 2010
University of Namur, Department of Mathematics, Namur (Belgium).
Invited visitor.
Collaboration with Dr. Timoteo Carletti
Feb. 1 – Feb. 4, 2010
European Organization for Nuclear Research (CERN), Geneva (Switzerland).
Visiting researcher.
Collaboration with Dr. Yannis Papaphilippou
June 4 – June 20, 2007
Feb. 1 – Feb. 13, 2007
European Synchrotron Radiation Facility (ESRF), Grenoble (France).
Invited visitor.
Collaboration with Dr. Yannis Papaphilippou
Sept. 19 – Sept. 30, 2005
Observatory of Paris, IMCCE, Paris (France).
Invited visitor.
Collaboration with Prof. Jacques Laskar
Nov. 2 - Nov. 30, 2003
Observatory of Marseille, Marseille (France).
Invited visitor (research project of CNRS France).
Collaboration with Dr. Lia Athanassoula
Feb. 16 - Feb. 28, 2003
Jan. 27 - Feb. 9, 2002
Sept. 21 - Oct. 7, 2001
July 12 - July 28, 2000
University of Bologna, Department of Physics, Bologna (Italy).
Invited visitor (Human Capital and Mobility program).
Collaboration with Prof. Giorgio Turchetti
June 23 - July 6, 2001
July 1995
University of Milan, Department of Mathematics, Milan (Italy).
Visiting postgraduate student (Human Capital and Mobility program / ERASMUS grant).
Collaboration with Prof. Antonio Giorgilli
July 1995
Oct. 1992 - Dec. 1992
University of Crete, Department of Chemistry, Heraklion (Greece).
Visiting postgraduate student (project of Greek Ministry of Industry Research and Technology).
Collaboration with Prof. Stavros Farantos
Apr. 1994
Dec. 1993

Participation in research projects

  1. Chaos in disordered nonlinear lattices
    Principal Investigator, National Research Foundation (NRF) of South Africa, University of Cape Town, Jan. 2016 – Dec. 2018
    Subject: Investigation of the mechanisms of chaos in various models of disordered nonlinear lattices in one and two dimensions.

  2. Chaotic energy transport in disordered nonlinear lattices
    Principal Investigator, Research Office of the University of Cape Town, Oct. 2014 – Sept. 2016
    Subject: Study of the characteristics of the chaotic wave packet spreading in disordered variants of two typical one-dimensional Hamiltonian lattice models, namely the Klein-Gordon (KG) oscillator chain and the discrete nonlinear Schrödinger equation (DNLS).

  3. Mathematical modeling of complex systems with applications to biomedicine, physics and the technology of materials (MACOMSYS)
    Aristotle University of Thessaloniki, Jan. 2012 – Dec. 2015
    Subject: Study of the chaotic behavior of multi-dimensional Hamiltonian systems with emphasis to the problem of energy transport in nonlinear lattices.

  4. Chaotic energy spreading in disordered nonlinear lattices
    Principal Investigator, Research Committee of the Aristotle University of Thessaloniki (Prog. No 89317), Feb. 2013 – Jan. 2014
    Subject: Study of the chaotic nature of energy spreading in disordered nonlinear lattices.

  5. Critical phenomena and collective behaviour of multi-particle complex systems (Complex Matter)
    University of Patras, Jan. 2011 – Dec. 2012
    Subject: Development of numerical techniques for the integration of differential equations, the distinction between order and chaos, as well as the control of chaotic behavior, and applications to multi-dimensional systems.

  6. Beam Stability in Modern Light Sources via Frequency Map Analysis   
    Observatory of Paris, Feb. 2006 – Jan. 2008
    Subject: Application of Frequency Map Analysis for understanding the beam stability limitations in modern light sources.

  7. Non-linear dynamics and complex systems: Theory and applications to physical and biomedical sciences
    Department of Mathematics, University of Patras, Apr. 2005 – Dec. 2006
    Subject: Statistical properties of non-linear dynamical systems. Computation of the size of chaotic regions in the phase space of Hamiltonian systems by the Smaller Alignment Index (SALI) method. Study of the complex behavior of coupled non-linear oscillators.

  8. Orbital structure of 3 dimensional N-body models of barred galaxies
    Principal Investigator, Empeirikeion Foundation, Aug. 2004 – Jan. 2006
    Subject: Study of the periodic orbits in analytic potentials of N-body simulations of barred galaxies. Comparison of the morphological features of the simulations to the structures observed in real galaxies.

  9. Qualitative and quantitative analysis of chaotic regions of three-dimensional galactic potentials
    Academy of Athens, Jan. 2005 – Dec. 2005
    Subject: Study of the phase space’s structure in the neighborhood of periodic orbits in 3D galactic potentials by the Smaller Alignment Index (SALI) method.

  10. Dynamics and fractal structures in discrete dynamical systems
    Empeirikeion Foundation, Aug. 2004 – Sept. 2005
    Subject: Study of the dynamics and diffusion properties of non-periodic orbits in discrete dynamical systems, which are influenced by the presence of a fractal set of periodic orbits in the phase space.

  11. Study of the orbital structure of barred galaxies in N-body simulations
    Academy of Athens, Jan. 2002 - Dec. 2004
    Subject: Study of periodic orbits in potentials derived by N-body simulations.

  12. Chaotic dynamics and statistical behavior of dynamical systems
    Department of Mathematics, University of Patras, Jan. 2002 - Dec. 2003
    Subject: Dynamical and statistical study of ordered and chaotic behavior of mappings and Hamiltonian dynamical systems.

  13. Chaos in three-dimensional N-body models of barred galaxies. Specialized software and new technologies
    Greek State Scholarship's Foundation, Dec. 2002 - Nov. 2003
    Subject: Study of the chaotic behavior in potentials of N-body systems, derived by using different algorithms and hardware (GRAPEs and common computers).

  14. Vertical structure in barred galaxies
    Centre National de la Recherche Scientifique (CNRS) France, July 2000 - Feb. 2003
    Subject: Orbital structure of analytic potentials and N-body simulations of barred galaxies

  15. Theoretical study of galaxies
    E.U., Greek Ministry of Industry Research and Technology and Academy of Athens, Jan. 1999 - Dec. 2001
    Subject: Numerical methods for detecting the chaotic behavior of orbits in dynamical systems with n≥3 degrees of freedom. Study of periodic orbits in 3D Ferrers bar potentials which are believed to approximate the dynamics of real barred galaxies. Comparison of the morphological features of the periodic orbits to the observed structures in real galaxies.

  16. National program of controlled thermonuclear fusion
    E.U., Contract ERB5005CT990100, July 1999 - Dec. 2000
    Subject: Study of the different stability types of periodic orbits of high dimensional autonomous Hamiltonian systems.

  17. YouRA: Young researchers in action
    E.U., Sept. 1999 - Feb. 2000
    Subject: Implementation of Open Distance Learning in Didactics of Physics.

  18. Gravitational collapse and structure of the phase space
    Greek Ministry of Industry Research and Technology, March 1996 - March 1997
    Subject: Theoretical and numerical study of the structures in the phase space of dynamical systems with three degrees of freedom and 4D maps.

  19. Human Capital and Mobility Program EPB4050PL930312
    E.E.C., 1996
    Subject: Study of the features of non-periodic orbits of 4D maps composed of two coupled 2D maps

  20. Human Capital and Mobility Program ERBCHRXCT930330
    E.E.C., 1995
    Subject: Study of the bifurcations of periodic orbits in a class of Hénon-like 2D maps, which are simple models of a particle accelerator, having same linear parts but different non-linear behavior.

  21. Classical and quantum study of dynamical systems of three degrees of freedom
    Greek Ministry of Industry Research and Technology, May 1993 - Feb. 1994
    Subject: Study of the irregular periodic orbits in a chemical three body problem, the interaction of two atoms of hydrogen and one atom of fluorine.

  22. ERASMUS
    University of Milan (Italy), Visiting postgraduate student, Oct. 1992 - Dec. 1992
    Subject: Theoretical and numerical study of the effective stability in the restricted problem of three bodies. Application to the Trojan asteroids

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Grants, Fellowships, Proposals, Awards

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Editorial board membership

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Editorial activity

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Reviewer

for journals

for research organizations

for web sites

of Ph.D. Theses

  • Gómez M. R.: 2006, "The role of invariant manifolds in the formation of spiral arms and rings in barred galaxies", Ph.D. Thesis, Universitat Politècnica de Catalunya, Spain (external reviewer).

  • Manos A. : 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D. Thesis, Université de Provence, France & University of Patras, Greece (external reviewer).

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Teaching experience

  • University of Cape Town (South Africa), Sept. 2013 – present.
    Courses:
    Methods of Functions of Complex Variables (MAM3040W 3CV). Content: Complex Calculus.
    Fall 2014, approximately 20 students, 30 lecture and 12 tutorial hours.
    Fall 2015, approximately 20 students, 30 lecture and 12 tutorial hours.
    Fall 2016, approximately 20 students, 30 lecture and 12 tutorial hours.
    Mathematics 1A for Engineers (MAM1020F), course convener. Content: Differential and Integral Calculus of One Variable Real Functions. Sequences and Series.
    Fall 2016, approximately 700 students, 60 lecture and 26 tutorial hours.
    Computing for Chemical Engineers (MAM3085F), course convener. Content: Scientific Programming by utilizing the Scilab computing environment for solving chemical engineering problems, Elements of Numerical Analysis.
    Fall 2014, approximately 90 students, 15 lecture and 33 tutorial hours.
    Fall 2015, approximately 160 students, 24 lecture and 24 tutorial hours.
    Mathematics 1A for Engineers (MAM1020S), course convener. Content: Differential and Integral Calculus of One Variable Real Functions. Sequences and Series.
    Spring 2014, approximately 25 students, 30 lecture and 12 tutorial hours.
    Spring 2015, approximately 30 students, 30 lecture and 14 tutorial hours.

  • Aristotle University of Thessaloniki (Greece), July 2011 – Sept. 2013.
    Undergraduate Courses (Physics Department):
    General Mathematics I. Content: Differential and Integral Calculus of One Variable Real Functions. Sequences and Series.
    Fall 2012, approximately 70 students, 50 lecture hours.
    Theoretical Mechanics I. Content: Newtonian Mechanics.
    Spring 2012, approximately 100 students, 50 lecture hours.
    Spring 2013, approximately 100 students, 50 lecture hours.
    Theoretical Mechanics II. Content: Lagrangian and Hamiltonian Mechanics.
    Fall 2011, approximately 100 students, 50 lecture hours.
    Fall 2012, approximately 100 students, 50 lecture hours.
    Calculus I. Content: Differential and Integral Calculus of One Variable Real Functions.
    Fall 2011, approximately 120 students, 40 lecture hours.
    Undergraduate Courses (Department of Mathematics):
    Mechanics of Continuous Media. Content: Introduction to tensor analysis. Deformation of elastic bodies. Ideal and Newtonian fluids.
    Spring 2012, approximately 10 students, 40 lecture hours.
    Spring 2013, approximately 15 students, 40 lecture hours (and Physics Department).
    Postgraduate Courses (Program of Postgraduate Studies in ‘Computational Physics’, Physics Department):
    Simulation of chaotic systems. Content: Numerical methods for nonlinear dynamical systems. Symplectic integrators. Chaos detection techniques.
    Spring 2012, approximately 10 students, 40 lecture hours.
    Spring 2013, approximately 5 students, 40 lecture hours.

  • Hellenic Open University (Greece), June 2000 - July 2005 and Oct. 2006 – July 2013.
    Courses:
    Mathematics for Informatics I (annual course). Content: Linear Algebra, Single Variable Calculus, Introduction to Probability Theory, Introduction to Matlab and Mathematica (2006 – 2013, 7 academic years, approximately 30 students per annum).
    Classical Physics I (annual course). Content: Mechanics, Thermodynamics, Electromagnetism (2000 – 2005, 5 academic years, approximately 30 students per annum).

  • Technological Educational Institute of Messolonghi (Greece), Sept. 2004 – Sept. 2005.
    Courses:
    Econometrics (2 semesters, approximately 100 students and 25 lecture hours per semester).
    C programming language (lab) (2 semesters, approximately 110 students and 160 lecture hours per semester).

  • "Hellenic Center of Information Technology" (Greece), a private Educational and Consulting Company specialized in Informatics, Management and Finance, Dec. 1998 - July 1999 and Sept. - Oct. 2003.
    Courses:
    ► Windows 98.
    ► Microsoft Office 97.

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Student Advising

  • Senyange B.: 2016, "Chaotic behavior of one-dimensional disordered nonlinear lattices", Ph.D. Thesis (expected end of 2018), Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

  • Schwellnus A.M.: 2015, "Numerical Symplectic Integration Techniques for Multi-Dimensional Hamiltonian Systems", Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

  • Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

  • Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

  • Grunow W.: 2014, "Chaos in Hamiltonian systems", Third year project, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

  • Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Greece (currently a Ph.D. candidate at University Roma Tor Vergata).

  • Manika D.: 2013, "Application of the Compound Matrix Theory for the computation of Lyapunov exponents of autonomous Hamiltonian systems", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Greece.

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Member of Juries

for Ph.D. Theses

  • Sánchez-Martín P.: 2015, "Application of Dynamical System Methods to Galactic Dynamics: from Warps to Double Bars", Ph.D. Thesis, Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain, 29 June 2015. President of the jury.

  • Papadopoulos N. : 2012, "Dynamical study of galaxies as realistic physical systems", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Aristotle University of Thessaloniki, Greece, 12 June 2012.

  • Karanis G.I. : 2012, "Simulations of star motion in galactic models and their connection to the inverse problem of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Aristotle University of Thessaloniki, Greece, 25 May 2012.

for M.Sc. Theses

  • Sotiriadis S. : 2013, "Symplectic integration of the planetary N-body problem on GPU platforms", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Greece, 4 September 2013.

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Professional memberships

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Other activities

  • Department of Mathematics and Applied Mathematics of the University of Cape Town (South Africa)
    ► Feb. 2016 – present: Member of the Workload Distribution Committee.
    ► May 2015 – present: Member of the New Departmental Business Plan Committee.
    ► Aug. 2014 – present: Member of the Committee for the UCT Mathematics Competition.
    ► Aug. 2015 – Oct. 2015: Member of the Department of Mathematics and Applied Mathematics Chief Technical Officer Selection Committee. Person hired: Mr. Mmoloki Nimrod Matotong.
    ► May 2015 – July 2015: Member of a faculty post Selection Committee. Person hired: Dr. Bishop Mongwane (Lecturer).
    ► Jan. 2015 – Dec. 2015: Organizer of the "Colloquium Talks" series of the Department of Mathematics and Applied Mathematics.
    ► Nov. 2014 – Apr. 2015: Member of the MAM Business Plan Committee.
    ► May 2014 – Nov. 2014: Member of the Committee for Subminima.

  • Physics Department of the Aristotle University of Thessaloniki (Thessaloniki, Greece)
    ► November 2011 – September 2013: Member of the committee for Financial Issues.
    ► November 2011 – September 2013: Member of the committee for Courses and Lecture Halls Timetables.
    ► November 2011 – September 2013: Member of the committee for Reception of New Students (Educational Advisor).
    ► July 2011 – September 2013: Co-organizer (with Stergioulas N.) of the "Astrophysics, Astronomy and Mechanics Section Seminar".

  • Max Planck Institute for the Physics of Complex Systems (Dresden, Germany)
    ► June 2008 – June 2011: Organizer of the "Discrete Breathers Seminar".

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Meetings - Conferences
(a) Organization

  1. International Workshop "Methods of Chaos Detection and Predictability: Theory and Applications" (MCDPTA13), Dresden, Germany, 17 – 21 June 2013
    Main Organizer (with J. Laskar and G. Gottwald).

  2. International Conference: "Nonlinear Dynamics and Complexity: Theory, Methods and Applications", Thessaloniki, Greece, 12 – 16 July 2010
    Main Organizer (with V. Rothos). Member of the Scientific Program Committee and the Organizing Committee.

  3. 21st International Conference "Nonlinear Science and Complexity", Athens, Greece, 21 July – 2 August 2008
    Member of the LOC.

  4. 20th International Summer School/Conference "Nonlinear Science and Complexity", Patras, Greece, 19 - 29 July 2007
    Member of the LOC.

  5. 4th Scientific Symposium "Great Moments of Physics: Current tendencies and achievements of Physical Sciences", Athens, Greece, 1 - 3 April 2005
    Member of the Organizing Committee.

  6. International Conference & Summer School: Complexity in Science and Society, Patras & Ancient Olympia, Greece, 2004
    Member of the LOC.

  7. 3rd Scientific Symposium "Great Moments of Physics: The current developments in Physics and their influence at society", Larisa, Greece, 2004
    Member of the Organizing Committee.

  8. 15th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 2002
    Member of the LOC.

(b) Invited Participation

  1. 5th European PhD Summer School-Conference on "Mathematical Modeling of Complex Systems", Patras, Greece, 2015.
    Invited speaker
    Oral presentations: Numerical Methods for Hamiltonian Systems: Chaos Detection (Parts A and B) (pdf file, 12.62 Mb)

  2. International Workshop in Astronomy and Dynamics, Paris, France, 2015.
    Invited speaker
    Oral presentation: Chaotic dynamics of disordered nonlinear lattices (pdf file, 1.56 Mb and Video)

  3. Fourth International Workshop on Statistical Mechanics and Dynamical Systems, Athens, Greece, 2014. Invited speaker
    Oral presentation: High order three part split symplectic integrators. Application to the disordered discrete nonlinear Schrödinger equation (pdf file, 3.86 Mb)

  4. 9th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 2014. Invited speaker
    Oral presentation: Chaotic behavior of disordered nonlinear lattices (pdf file, 5.43 Mb)

  5. International Meeting "Perspectives in Nonlinear Dynamics" (A Satellite meeting of the STATPHYS 25 Conference), Hyderabad, India, 2013. Invited speaker
    Oral presentation: Chaos in disordered nonlinear lattices (pdf file, 2.82 Mb)

  6. 8th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 2011. Invited speaker
    Oral presentation: Efficient methods of chaos detection (pdf file, 9.45 Mb)

  7. 8th Alexander von Humboldt Colloquium for Celestial Mechanics, Bad Hofgastein, Austria, 2011.Invited speaker
    Oral presentation: Energy transport in disordered nonlinear chains (pps file, 20.8 Mb)

  8. International Conference "CELMEC V: The Fifth International Meeting on Celestial Mechanics", San Martino al Cimino, Viterbo, Italy, 2009. Invited speaker
    Oral presentation: On the numerical integration of variational equations (pdf file, 680 Kb)
    Poster presentation: Some aspects of the numerical integration of variational equations

  9. International Conference "Nonlinear Science and Complexity", Pescara, Italy, 2009. Invited speaker
    Oral presentation: Spreading of wave packets in one dimensional disordered chains (pps file, 21.9 Mb)
    Poster presentation: Behavior of the GALI indices for periodic orbits (pdf file, 1.13 Mb)

  10. Ecole Thématique du CNRS "Récentes Investigations en Dynamique des Corps Célestes dans les Systèmes Solaire et Extra-solaires", Bad Hofgastein, Austria, 2007.Invited speaker
    Oral presentation: Mesure du chaos

(c) Participation

  1. Science, Technology, Engineering, Mathematics & Innovation (STEMI) Olympiads & Competitions Conference, Johannesburg, South Africa, 2015.

  2. 4th Ph.D. Summer School - Conference on "Mathematical Modeling of Complex Systems", Athens, Greece, 2014.

  3. Workshop of UCT's New Academic Practitioners’ Programme (NAPP), Stellenbosch & Cape Town, South Africa, 2014.
    Oral presentation: Teaching the new course: MAM3085F ‘Computing for Chemical Engineers’ (pdf file, 944 Kb)

  4. International Workshop "Methods of Chaos Detection and Predictability: Theory and Applications (MCDPTA13)", Dresden, Germany, 2013. Main Organizer
    Oral presentation: The Smaller (SALI) and the Generalized (GALI) Alignment Index methods of chaos detection (pdf file, 2.14 Mb)
    Poster presentation: Chaos and Localization on 1-dimensional Nonlinear Disordered Lattices
    Poster presentation: Computation of Lyapunov Characteristic Exponents Spectrum by the Compound Matrix Method
    Poster presentation: Dynamical Behavior of a System of Interacting Vortices in a Confined Bose-Einstein Condensate

  5. 10th HSTAM 2013 International Congress on Mechanics, Mini-Symposium "Complex Problems in Theoretical and Applied Mechanics", Chania, Greece, 2013.
    Oral presentation: High order three part split symplectic integration schemes (pdf file, 2.57 Mb)

  6. European Conference on Complex Systems (ECCS 12), Satellite Meeting "Critical Phenomena and Collective Behavior of Multi-Particle Systems", Brussels, Belgium, 2012.
    Oral presentation: Efficient integration schemes for the discrete nonlinear Schrödinger (DNLS) equation (pdf file, 2.70 Mb)

  7. 2nd Conference on Localized Excitations in Nonlinear Complex Systems (LENCOS’ 12), Sevilla, Spain, 2012.
    Oral presentation: Efficient integration schemes for the discrete nonlinear Schrödinger (DNLS) equation(pdf file, 2.42 Mb)

  8. Third Plenary Meeting "Complex Matter", Manchester, UK, 2012.
    Oral presentation: Chaos in disordered nonlinear lattices (pdf file, 4.02 Mb)

  9. Second Plenary Meeting "Complex Matter", Patras, Greece, 2011.
    Oral presentation: Energy localization in disordered nonlinear lattices (pdf file, 1.78 Mb)

  10. Deutsche Physikalische Gesellschaft (DPG): 75th Annual Meeting of the DPG and DPG Spring Meeting, Dresden, Germany, 2011.
    Oral presentation: Algorithms for the integration of variational equations of multidimensional Hamiltonian systems (pdf file, 447 Kb)

  11. International Conference: "Nonlinear Dynamics and Complexity: Theory, Methods and Applications", Thessaloniki, Greece, 2010. Main Organizer
    Oral presentation: Numerical integration of variational equations (pdf file, 789 Kb)
    Poster presentation: A study of tangent dynamics using the GALI method: from the center of islands to the edge of chaos

  12. International Focus Workshop: "Few Body Dynamics in Atoms, Molecules and Planetary Systems", Dresden, Germany, 2010.
    Oral presentation: The Smaller (SALI) and the Generalized (GALI) Alignment Index Methods of Chaos Detection: Theory and Applications (pdf file, 4.5 Mb)

  13. American Institute of Mathematical Sciences’ (AIMS’) 8th International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany, 2010.
    Oral presentation: On the numerical integration of variational equations (pdf file, 789 Kb)

  14. International Conference "Dynamics Days Europe 2009", Göttingen, Germany, 2009.
    Oral presentation: Spreading of wave packets in one dimensional disordered chains: Different dynamical regimes (pps file, 20.6 Mb)

  15. Deutsche Physikalische Gesellschaft (DPG) Spring Meeting of the Condensed Matter Section, Dresden, Germany, 2009.
    Oral presentation: Spreading of wave packets in one dimensional disordered chains - I. Different dynamical regimes (pdf file, 379 Kb)
    Poster presentation: Detecting chaos and determining the dimensions of tori in Fermi-Pasta-Ulam lattices by the Generalized Alignment Index method(pdf file, 540 Kb)

  16. International Workshop on Anderson Localization in Nonlinear and Many-Body Systems, Dresden, Germany, 2009.
    Poster presentation: Spreading of Wavepackets in One-Dimensional Disordered Chains: Different Dynamical Regimes (pdf file, 680 Kb)
    Poster presentation: Spreading of Wavepackets in One-Dimensional Disordered Chains. Spreading Mechanisms (pdf file, 220 Kb)
    Poster presentation: On the Energy Transfer in FPU Lattices (pdf file, 1.48 Mb)

  17. 21st International Conference "Nonlinear Science and Complexity", Athens, Greece, 2008.
    Oral presentation: Chaos detection techniques

  18. International Meeting on the Dynamics of Celestial Bodies, Litohoro, Greece, 2008.
    Oral presentation: The Generalized Alignment Index (GALI) Method of Chaos Detection: Theory and Applications

  19. 7th Alexander von Humboldt Colloquium for Celestial Mechanics, Bad Hofgastein, Austria, 2008.
    Oral presentation: Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi-Pasta-Ulam lattices by the GALI method

  20. Workshop on Mathematical Aspects of Celestial Mechanics, Paris, France, 2007.
    Oral presentation: Realistic estimations of the stability region of the Trojan asteroids

  21. International Conference "Nonlinear Dynamics and Chaos: Advances and Perspectives", Aberdeen, Scotland, 2007.
    Oral presentation: The Generalized Alignment Index (GALI) Method of Chaos Detection: Theory and Applications
    Poster presentation: Studying the dynamics of particle accelerators by the Frequency Map Analysis method using multi-bpm data

  22. 20th International Summer School/Conference "Nonlinear Science and Complexity", Patras, Greece, 2007.
    Oral presentation: Beam Stability in Modern Light Sources via Frequency Map Analysis
    Poster presentation: Application of the Generalized Alignment Index Method to the Dynamics of Multi-dimensional Symplectic Maps

  23. 22nd Particle Accelerator Conference, PAC07, Albuquerque, USA, 2007.
    Poster presentation: Precise tune measurements from multiple beam position monitors

  24. Workshop "Asteroids and resonances: open problems and perspectives", Commemorative workshop for the 70-th anniversary of Prof. Sylvio Ferraz Mello, Meudon, France, 2006.

  25. 19th Conference and Summer School "Complexity and Nonlinear Dynamics", Thessaloniki, Greece, 2006.
    Oral presentation: A new method for distinguishing chaos from order in Hamiltonian systems
    Poster presentation: Chaotic dynamics of N-degree of freedom Hamiltonian systems

  26. American Institute of Mathematical Sciences’ (AIMS’) Sixth International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France, 2006.
    Oral presentation: The Generalized Alignment Index (GALI) method: Detecting order and chaos in conservative dynamical systems

  27. International Conference "Carles Simó Fest", S’ Agaró, Spain, 2006.
    Poster presentation: The Generalized Alignment Index (GALI) method: Detecting order and chaos in conservative dynamical systems

  28. International Conference "CELMEC IV : A Meeting on Celestial Mechanics", San Martino al Cimino, Viterbo, Italy, 2005.
    Oral presentation: The importance of periodic orbits in three-dimensional galactic bars and modern numerical techniques for tracing them

  29. 18th Summer School / Panhellenic Conference "Non linear Science and Complexity", Volos, Greece, 2005.
    Oral presentation: Dynamical study of three-dimensional galactic bars: Periodic orbits and new techniques for tracing them
    Poster presentation: Chaotic dynamics of N-degree of freedom Hamiltonian systems

  30. 6th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 2005.
    Oral presentation: The importance of periodic orbits in three-dimensional galactic bars and modern numerical techniques for tracing them
    Poster presentation: Chaotic dynamics of N-degree of freedom Hamiltonian systems

  31. 4th Scientific Symposium "Great Moments of Physics: Current tendencies and achievements of Physical Sciences", Athens, Greece, 2005.

  32. International Conference on Numerical Analysis and Applied Mathematics, Chalkida, Greece, 2004.
    Oral presentation: A Numerical Study of Soliton Solutions of the Boussinesq Equation using Spectral methods

  33. 1st International Conference 'From Scientific Computing to Computational Engineering', Athens, Greece, 2004.
    Oral presentation: Tracing Periodic Orbits in 3D Galactic Potentials by the Particle Swarm Optimization method
    Oral presentation: Numerical Solution of the Boussinesq Equation using Spectral Methods and Stability of Solitary Wave Propagation

  34. International Conference & Summer School: Complexity in Science and Society, Patras & Ancient Olympia, Greece, 2004.
    Oral presentation: Detecting Chaos by the Smaller Alignment Index (SALI) method (pdf file, 1.61 Mb)
    Oral presentation: Detecting Chaos in Autonomous Hamiltonian Systems and Symplectic Maps (pdf file, 2.06 Mb)
    Poster presentation: SALI: An Efficient Indicator of Regular and Chaotic motion of Multi – Degree of Freedom Hamiltonian Systems

  35. Workshop "Experimental Frequency Map Analysis in Accelerator Physics", Paris, France, 2003.

  36. 6th Hellenic Astronomical Conference, Penteli, Greece, 2003.
    Poster presentation: Tracing periodic orbits in 3D galactic potentials by the Particle Swarm Optimization method
    Poster presentation: Face-on views of 3D barred galaxies.

  37. NATO ASI "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", Cortina d’ Ampezzo, Italy, 2003.
    Oral presentation: Smaller Alignment Index - SALI: A Simple Tool to Distinguish Chaotic from Ordered Motion
    Poster presentation: Tracing periodic orbits in 3D galactic potentials by the Particle Swarm Optimization method.

  38. International Astronomical Union XXVth General Assembly, Symposium 220 "Dark Matter in Galaxies", Sydney, Australia, 2003.
    Poster presentation: Boxy isophotes in face-on views of barred galaxies
    Poster presentation: Formation of inner rings in 3D potentials of barred galaxies.

  39. International Workshop on Galaxies and Chaos, Theory and Observations, Athens, Greece, 2002.
    Oral presentation: Detecting ordered or chaotic motion in Hamiltonian systems by the Smaller Alignment Index (SALI) method.

  40. 15th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 2002.
    Oral presentation: Indices for distinguishing between regular and chaotic dynamics.

  41. 5th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 2002.
    Oral presentation: Determining the ordered or chaotic nature of orbits in Hamiltonian systems by the Smaller Alignment Index (SALI) method.
    Poster presentation: Finding periodic orbits in area preserving mapping by Topological Degree theory.

  42. GRACM 2002 - 4th GRACM Congress on Computational Mechanics, Patras, Greece, 2002.
    Oral presentation: Smaller alignment index (SALI): Detecting order and chaos in conservative dynamical systems.

  43. International Conference on Libration Point Orbits and Applications, Aiguablava, Spain, 2002.
    Oral presentation: Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems.
    Poster presentation: Locating periodic orbits by Topological Degree theory. (pdf file, 407 Kb)

  44. 5th Hellenic Astronomical Conference, Fodele, Crete, Greece, 2001.
    Oral presentation: Alignment indices: a new method for determining the ordered or chaotic nature of orbits.
    Poster presentation: Stability types of periodic orbits of multidimensional Hamiltonian systems.
    Poster presentation: Realistic estimations of the effective stability region of the Trojan asteroids.
    Poster presentation: The backbone of 3D bars.

  45. 14th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 2001.
    Oral presentation: Stability of periodic orbits in multi-dimensional Hamiltonian systems.

  46. International Conference "CELMEC III : Third Meeting on Celestial Mechanics", Monte Porzio Catone, Italy, 2001.
    Oral presentation: On the effective stability of the Trojan asteroids.
    Poster presentation: Αlignment indices: a new indicator distinguishing between ordered and chaotic orbits.

  47. 1st Interdisciplinary Symposium on Nonlinear Problems, Athens, Greece, 2000.

  48. International Workshop "Galactic Disks 99", Heidelberg, Germany, 1999.

  49. 4th Hellenic Astronomical Conference, Samos, Greece, 1999.
    Oral presentation: Regions of effective stability in the restricted problem of three bodies.
    Oral presentation: Dynamical spectra in systems with three degrees of freedom.

  50. 12th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 1999.
    Oral presentation: Dynamical spectra and structures in the phase space of a four-dimensional symplectic map.

  51. International Workshop "Astronomy 2000+", Athens, Greece, 1998.

  52. 8th Summer School / 3rd Panhellenic Conference "Complexity and chaotic dynamics of nonlinear systems", Patras, Greece, 1996.
    Poster presentation: Periodic orbits in the potential of FH2.

  53. One-day course "Nonlinear dynamics, chaos, fractals, fractal kinetics in drug research", Athens, Greece, 1996.
    Oral presentation: Introduction to nonlinear dynamics.

  54. International Conference "Hamiltonian systems with three or more degrees of freedom", S' Agaro, Barcelona, Spain, 1995.
    Poster presentation: Numerical study of the phase space of a four dimensional symplectic map.

  55. First Panhellenic Astronomical Meeting, Athens, Greece, 1992.
    Oral presentation: Study of a 4-D mapping.

  56. 5th Summer School of Nonlinear Physics and Mathematics, Heraklion, Crete, Greece, 1992.

  57. International Conference "Chaotic dynamics: theory and practice", Patras, Greece, 1991.

  58. 4th Summer School of Nonlinear Physics and Mathematics, Samos, Greece, 1990.

  59. 2nd Summer School of Nonlinear Physics and Mathematics, Samos, Greece, 1988.

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