Dr Haris Skokos

Talks

  1. Numerical methods of chaos detection
    Seminar, Center for Dynamics, Department of Mathematics, Technical University Dresden, Dresden, Germany, 25 November 2015.
    (pdf file, 9.61 Mb)

  2. Chaotic behavior of disordered nonlinear lattices 
    Seminar, Lohrmann Observatory, Technical University Dresden, Dresden, Germany, 23 November 2015.
    (pdf file, 6.75 Mb)

  3. Chaotic behavior of disordered nonlinear lattices 
    Seminar, Centre for Theoretical and Mathematical Physics (CTMP), University of Cape Town, Cape Town, South Africa, 28 August 2015.  
    (pdf file, 5.19 Mb)

  4. Numerical Methods for Hamiltonian Systems: Chaos Detection (Part B) 
    5th European PhD Summer School-Conference on "Mathematical Modeling of Complex Systems", Patras, Greece, 25 July 2015.
    (pdf file, 12.62 Mb)

  5. Numerical Methods for Hamiltonian Systems: Chaos Detection (Part A) 
    5th European PhD Summer School-Conference on "Mathematical Modeling of Complex Systems", Patras, Greece, 23 July 2015.
    (pdf file, 12.62 Mb)

  6. Chaotic behavior of disordered nonlinear lattices 
    Seminar, Laboratoire d'Acoustique de l'Université du Maine, Le Mans, France, 23 June 2015.
    (pdf file, 5.19 Mb)

  7. Chaotic behavior of disordered nonlinear lattices 
    Seminar, Research Center for Astronomy and Applied Mathematics, Academy of Athens, Athens, Greece, 16 June 2015.
    (pdf file, 5.19 Mb)

  8. Numerical methods of chaos detection (Part B) 
    Seminar, Centre for Theoretical and Mathematical Physics (CTMP), University of Cape Town, Cape Town, South Africa, 8 May 2015.
    (pdf file, 11.87 Mb)

  9. Chaotic dynamics of disordered nonlinear lattices 
    International Workshop in Astronomy and Dynamics, Paris, France, 28 April 2015. 
    (pdf file, 1.56 Mb) 
    Video

  10. Numerical methods of chaos detection (Part A)  
    Seminar, Centre for Theoretical and Mathematical Physics (CTMP), University of Cape Town, Cape Town, South Africa, 24 April 2015.
    (pdf file, 11.87 Mb)

  11. High order three part split symplectic integrators. Application to the disordered discrete nonlinear Schrödinger equation  
    Fourth International Workshop on Statistical Mechanics and Dynamical Systems, Athens, Greece, 18 July 2014. 
    (pdf file, 3.86 Mb)

  12. Chaotic behavior of disordered nonlinear lattices  
    9th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 3 July 2014.  
    (pdf file, 5.43 Mb)

  13. Teaching the new course: MAM3085F ‘Computing for Chemical Engineers’  
    Workshop of UCT's New Academic Practitioners’ Programme (NAPP), University of Cape Town, Cape Town, South Africa, 26 May 2014.  
    (pdf file, 944 Kb)

  14. Chaos in disordered nonlinear lattices  
    International Meeting "Perspectives in Nonlinear Dynamics" (A Satellite meeting of the STATPHYS 25 Conference), Hyderabad, India, 16 July 2013.  
    (pdf file, 2.82 Mb)

  15. The Smaller (SALI) and the Generalized (GALI) Alignment Index methods of chaos detection 
    International Workshop "Methods of Chaos Detection and Predictability: Theory and Applications (MCDPTA13)", Dresden, Germany, 18 June 2013. 
    (pdf file, 2.14 Mb)

  16. High order three part split symplectic integration schemes  
    Mini-Symposium "Complex Problems in Theoretical and Applied Mechanics" of the 10th HSTAM 2013 International Congress on Mechanics, Chania, Greece, 27 May 2013.
    (pdf file, 2.57 Mb)

  17. Symplectic integration methods for multidimensional Hamiltonian systems: Application to the disordered discrete nonlinear Schrödinger (DNLS) equation 
    Seminar, Lohrmann Observatory, Technical University Dresden, Dresden, Germany, 3 May 2013. 
    (pdf file, 3.19 Mb)

  18. Symplectic integration methods for multidimensional disordered nonlinear lattices   
    Seminar, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa, 4 December 2012.
    (pdf file, 4.98 Mb)

  19. Efficient integration schemes for the discrete nonlinear Schrödinger (DNLS) equation   
    Satellite Meeting "Critical Phenomena and Collective Behavior of Multi-Particle Systems" of the European Conference on Complex Systems (ECCS 12), Brussels, Belgium, 5 September 2012.
    (pdf file, 2.70 Mb)

  20. Efficient integration schemes for the discrete nonlinear Schrödinger (DNLS) equation   
    2nd Conference on Localized Excitations in Nonlinear Complex Systems (LENCOS’ 12), Sevilla, Spain, 10 July 2012. 
    (pdf file, 2.42 Mb)

  21. Chaos in disordered nonlinear lattices   
    Third Plenary Meeting "Complex Matter", Manchester, UK, 30 March 2012.  
    (pdf file, 4.02 Mb)

  22. Energy transport in disordered nonlinear chains 
    Seminar,Section of Astrophysics, Astronomy and Mechanics, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece, 11 January 2012.
    (ppt file, 20.90 Mb)

  23. Energy transport in disordered nonlinear chains 
    Seminar, Institute for Theoretical Physics, Vienna University of Technology, Vienna, Austria, 18 November 2011.
    (ppt file, 20.84 Mb)

  24. Energy localization in disordered nonlinear lattices  
    Second Plenary Meeting "Complex Matter", Patras, Greece, 21 July 2011.  
    (pdf file, 1.78 Mb)

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

  26. Efficient methods of chaos detection: theory and applications  
    Seminar, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa, 25 May 2011.  
    (pdf file, 7.45 Mb)

  27. Energy transport in disordered nonlinear chains 
    8th Alexander von Humboldt Colloquium for Celestial Mechanics, Bad Hofgastein, Austria, 22 March 2011. 
    (ppt file, 20.8 Mb)

  28. Algorithms for the integration of variational equations of multidimensional Hamiltonian systems
    Deutsche Physikalische Gesellschaft (DPG): 75th Annual Meeting of the DPG and DPG Spring Meeting, Dresden, Germany, 16 March 2011. 
    (pdf file, 447 Kb)

  29. Algorithms for the integration of variational equations of Hamiltonian systems  
    Seminar on Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 24 February 2011.
    (pdf file, 802 Kb)

  30. Numerical integration of variational equations  
    International Conference: "Nonlinear Dynamics and Complexity: Theory, Methods and Applications", Thessaloniki, Greece, 13 July 2010.
    (pdf file, 789 Kb)

  31. The Smaller (SALI) and the Generalized (GALI) Alignment Index Methods of Chaos Detection: Theory and Applications 
    International Focus Workshop: "Few Body Dynamics in Atoms, Molecules and Planetary Systems", Dresden, Germany, 1 July 2010.
    (pdf file, 4.5 Mb)

  32. Numerical integration of variational equations  
    Discrete Breathers Seminar, Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany, 10 June 2010.
    (pdf file, 789 Kb)

  33. On the numerical integration of variational equations  
    American Institute of Mathematical Sciences’ (AIMS’) 8th International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany, 25 May 2010.
    (pdf file, 789 Kb)

  34. The Smaller (SALI) and the Generalized (GALI) Alignment Index Methods of Chaos Detection: Theory and Applications 
    AstroDynamics Group Seminar, Institute for Astronomy, University of Vienna, Vienna, Austria, 22 April 2010. 
    (pdf file, 5.7 Mb)

  35. The Smaller (SALI) and the Generalized (GALI) Alignment Index Methods of Chaos Detection: Theory and Applications 
    Dynamical Systems Group Seminar, Department of Mathematics, University of Namur, Namur, Belgium, 2 February 2010. 
    (pdf file, 4.5 Mb)

  36. The Generalized Alignment Index (GALI) Method of Chaos Detection: Theory and Applications  
    Lohrmann Observatory, Technical University Dresden, Germany, 15 January 2010.  
    (pdf file, 3.0 Mb)

  37. Spreading of wave packets in one dimensional disordered nonlinear Klein-Gordon chains    
    Condensed Matter Group Seminar, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany, 4 December 2009.
    (ppt file, 22.0 Mb)

  38. On the numerical integration of variational equations   
    International Conference "CELMEC V: The Fifth International Meeting on Celestial Mechanics", San Martino al Cimino, Viterbo, Italy, 8 September 2009.
    (pdf file, 680 Kb)

  39. Spreading of wave packets in one dimensional disordered chains: Different dynamical regimes   
    International Conference "Dynamics Days Europe 2009", Göttingen, Germany, 3 September 2009. 
    (ppt file, 20.6 Mb)

  40. Spreading of wave packets in one dimensional disordered chains   
    International Conference "Nonlinear Science and Complexity", Pescara, Italy, 29 July 2009.
    (ppt file, 21.9 Mb)

  41. Spreading mechanism of wave packets in one dimensional nonlinear Klein-Gordon chains  
    Seminar of Complex Systems and Nonlinear Dynamics Group, Faculty of Natural Sciences, Chemnitz University of Technology, Chemnitz, Germany, 27 May 2009. 
    (pdf file, 998 Kb)

  42. Spreading of wave packets in one dimensional disordered chains - I. Different dynamical regimes  
    Deutsche Physikalische Gesellschaft (DPG) Spring Meeting of the Condensed Matter Section, Dresden, Germany, 23 March 2009. 
    (pdf file, 379 Kb)

  43. Spreading of wave packets in disordered Klein-Gordon chains     
    Postdoc Day, Max Planck Institute for the Physics of Complex Systems, Dresden, Germany, 11 December 2008.

  44. Chaos detection techniques      
    21st International Conference "Nonlinear Science and Complexity", Athens, Greece, 26 July 2008.

  45. The Generalized Alignment Index (GALI) Method of Chaos Detection: Theory and Applications 
    International Conference on the Dynamics of Celestial Bodies, Litohoro, Greece, 26 June 2008.

  46. Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi-Pasta-Ulam lattices by the GALI method  
    7th Alexander von Humboldt Colloquium for Celestial Mechanics, Bad Hofgastein, Austria, 2 April 2008.

  47. Detecting Chaos by the Generalized Alignment Index (GALI) Method
    Scientific Jam Session, Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany, 7 March 2008.

  48. Realistic estimations of the stability region of the Trojan asteroids 
    Workshop on Mathematical Aspects of Celestial Mechanics, Paris, France, 12 December 2007.

  49. Studying the dynamics of conservative dynamical systems by the Generalized Alignment Index (GALI) Method 
    Quantum and Classical Dynamics Seminar, Centre de Physique Théorique, Marseille, France, 3 October 2007.

  50. The Generalized Alignment Index (GALI) Method of Chaos Detection: Theory and Applications
    International Conference "Nonlinear Dynamics and Chaos: Advances and Perspectives", Aberdeen, Scotland, 19 September 2007.

  51. Beam Stability in Modern Light Sources via Frequency Map Analysis
    20th International Summer School/Conference "Nonlinear Science and Complexity", Patras, Greece, 19 July 2007.

  52. Studying the Dynamics of Conservative Dynamical Systems by the Generalized Alignment Index (GALI) Method
    Discrete Breathers Seminar, Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany, 10 July 2007.

  53. Preliminary Ideas on the Nonlinear Dynamical Analysis of CLIC Damping Rings 
    Beam Dynamics Meeting, CERN, Geneva, Switzerland, 13 June 2007.

  54. Studying the dynamics of conservative dynamical systems by the Generalized Alignment Index (GALI) Method 
    Séminaire, Interdisciplinary Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Brussels, Belgium, 14 May 2007.

  55. The Smaller (SALI) and the Generalized (GALI) Alignment Index Methods of Chaos Detection: Theory and Applications  
    Séminaires ‘Temps & Espace’, IMCCE – SYRTE, Observatoire de Paris, Paris, France, 2 April 2007.

  56. Mesure du chaos  
    Ecole Thématique du CNRS "Récentes Investigations en Dynamique des Corps Célestes dans les Systèmes Solaire et Extra-solaires", Bad Hofgastein, Austria, 26 March 2007. 
    (pdf file, 5.27 Mb)

  57. A new method for distinguishing chaos from order in Hamiltonian systems  
    19th Conference and Summer School "Complexity and Nonlinear Dynamics", Thessaloniki, Greece, 24 July 2006.

  58. The Generalized Alignment Index (GALI) method: Detecting order and chaos in conservative dynamical systems 
    American Institute of Mathematical Sciences’ (AIMS’) Sixth International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France, 27 June 2006.

  59. Detecting chaos by the SALI method. Applications to simple accelerator models  
    Machine Division Seminar, European Synchrotron Radiation Facility (ESRF), Grenoble, France, 28 September 2005.

  60. The importance of periodic orbits in three-dimensional galactic bars and modern numerical techniques for tracing them  
    International Conference "CELMEC IV : A Meeting on Celestial Mechanics", San Martino al Cimino, Viterbo, Italy, 14 September 2005.

  61. Dynamical study of three-dimensional galactic bars: Periodic orbits and new techniques for tracing them   
    18th Summer School / Panhellenic Conference "Non linear Science and Complexity", Volos, Greece, 19 July 2005.

  62. The importance of periodic orbits in three-dimensional galactic bars and modern numerical techniques for tracing them  
    6th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 7 July 2005.

  63. Smaller Alignment Index (SALI): An efficient method of chaos detection 
    Seminar of the Department of Astrophysics, Astronomy and Mechanics, University of Thessalonica, Thessalonica, Greece, 17 May 2005

  64. Particle Swarm Optimization (PSO) : An efficient method for tracing periodic orbits in 3D galactic potentials  
    Seminar of the Research Center for Astronomy and Applied Mathematics,  Academy of Athens, Athens, Greece, 16 November 2004

  65. A Numerical Study of Soliton Solutions of the Boussinesq Equation using Spectral methods    
    International Conference on Numerical Analysis and Applied Mathematics, Chalkida, Greece, 11 September 2004 

  66. Tracing Periodic Orbits in 3D Galactic Potentials by the Particle Swarm Optimization method     
    1st International Conference "From Scientific Computing to Computational Engineering", Athens, Greece, 9 September 2004.

  67. Numerical Solution of the Boussinesq Equation using Spectral Methods and Stability of Solitary Wave Propagation    
    1st International Conference "From Scientific Computing to Computational Engineering", Athens, Greece, 9 September 2004.

  68. Detecting Chaos by the Smaller Alignment Index (SALI) method    
    International Conference & Summer School: Complexity in Science and Society, Ancient Olympia, Greece, 22 July 2004. 
    (pdf file, 1.61 Mb)

  69. Detecting Chaos in Autonomous Hamiltonian Systems and Symplectic Maps   
    International Conference & Summer School: Complexity in Science and Society, Patras , Greece, 16 July 2004
    (pdf file, 2.06 Mb) 

  70. Detecting order and chaos by the Smaller Alignment Index (SALI) method  
    Séminaire Astronomie et Systèmes Dynamiques, Institute de Mécanique Céleste, Observatoire de Paris, Paris, France, 20 November 2003.

  71. Smaller Alignment Index - SALI: A Simple Tool to Distinguish Chaotic from Ordered Motion
    NATO ASI "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", Cortina d’ Ampezzo, Italy, 12 September 2003.

  72. Smaller Alignment Index method (SALI). A fast and efficient method to distinguish Chaos from Order in Conservative Dynamical Systems
    Graduate Seminar, Department of Mathematics, University of Patras, Patras, Greece, 12 December 2002.

  73. Detecting Ordered or Chaotic Motion in Hamiltonian Systems by the Smaller Alignment Index (SALI) Method
    International Workshop on Galaxies and Chaos, Theory and Observations, Athens, Greece, 18 September 2002.

  74. Indices for distinguishing between regular and chaotic dynamics
    15th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 21 August 2002.

  75. Determining the ordered or chaotic nature of orbits in Hamiltonian systems by the Smaller Alignment Index (SALI) method 
    5th International Summer School / Conference "Let’s Face Chaos through Nonlinear Dynamics", Maribor, Slovenia, 6 July 2002. 

  76. Smaller alignment index (SALI): Detecting order and chaos in conservative dynamical systems
     GRACM 2002 - 4th GRACM Congress on Computational Mechanics, Patras, Greece, 27 June 2002.

  77. Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems 
    International Conference on Libration Point Orbits and Applications, Aiguablava, Spain, 13 June 2002.
    (pdf file, 743 Kb)

  78. Hamilton-Jacobi theory and the action-angle variables  
    CRANS Seminar series, Center for Research and Applications of Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 22 May 2002.

  79. The symplectic formalism of Hamilton’s equations and the Hamilton - Jacobi theory
    CRANS Seminar series, Center for Research and Applications of Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 17 April 2002.
    (pdf file, 4.47 Mb)

  80. Hamilton’s Equations of Motion
    CRANS Seminar series, Center for Research and Applications of Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 10 April 2002.
    (pdf file, 4.78 Mb)

  81. Lagrangian Mechanics and the Principle of Least Action
    CRANS Seminar series, Center for Research and Applications of Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 3 April 2002.
    (pdf file, 3.39 Mb)

  82. Local analysis of area preserving maps by topological degree theory
    Seminar of the Research Center for Astronomy and Applied Mathematics,  Academy of Athens, Athens, Greece, 5 March 2002

  83. Methods of studying the structure of the phase space in dynamical systems
    Department of Astrophysics, Astronomy and Mechanics, University of Athens, Athens, Greece, 15 November 2001.

  84. Study of the stability problem of the Trojan asteroids
    CRANS Seminar series, Center for Research and Applications of Nonlinear Systems, Department of Mathematics, University of Patras, Patras, Greece, 31 October 2001.

  85.  Study of the stability problem of the Trojan asteroids
    Division of Applied Analysis, Department of Mathematics, University of Patras, Patras, Greece, 31 October 2001.

  86. Alignment indices: a new method for determining the ordered or chaotic nature of orbits
    5th Hellenic Astronomical Conference, Fodele, Crete, Greece, 20 September 2001.

  87. Stability of periodic orbits in multi-dimensional Hamiltonian systems
    14th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 23 July 2001.

  88. On the effective stability of the Trojan asteroids
    International Conference "CELMEC III : Third Meeting on Celestial Mechanics", Monte Porzio Catone, Italy, 22 June 2001.

  89. Stability of periodic orbits in high dimensional Hamiltonian systems
    Seminar of the Research Center for Astronomy and Applied Mathematics,  Academy of Athens, Athens, Greece, 24 April 2001

  90. Regions of effective stability in the restricted three body problem
    Seminar of the Research Center for Astronomy and Applied Mathematics,  Academy of Athens, Athens, Greece, 24 February 2000.

  91. Regions of effective stability in the restricted problem of three bodies
    4th Hellenic Astronomical Conference, Samos, Greece, 17 September 1999.

  92. Dynamical spectra in systems with three degrees of freedom
    4th Hellenic Astronomical Conference, Samos, Greece, 17 September 1999.

  93. Dynamical spectra and structures in the phase space of a four-dimensional symplectic map 
    12th Summer School / Panhellenic Conference "Non linear dynamics: Chaos and Complexity", Patras, Greece, 19 July 1999.