19 June 2025
Mathematics Webinar | Non-Equilibrium Dynamics and Weak Chaos in Hamiltonian and Driven Systems, 7 July 2025


Understanding the long-term behavior of complex systems far from equilibrium remains one of the central challenges in nonlinear science. This workshop brings together recent advances in the study of non-equilibrium dynamics and weak chaos in both Hamiltonian many-body systems and externally driven (non-autonomous) models. Topics will include ergodicity breaking, metastable and quasi-stationary states, energy localization, and anomalous transport, as well as the use of diagnostic tools such as Lyapunov exponents and SALI to characterize dynamical behavior. Particular emphasis will be placed on systems with long-range interactions and mean-field models that exhibit integrable-like features in the thermodynamic limit, and on periodically forced systems where scattering, resonance, and sensitivity to external parameters play key roles in trajectory evolution. By exploring the interplay between structure, stability, and weak forms of chaos, this workshop aims to deepen our understanding of how order and unpredictability coexist in nonlinear dynamical systems. We invite researchers working across mathematical physics, dynamical systems theory, and computational modelling to attend, with the goal of fostering interdisciplinary dialogue and identifying new directions for exploration.

Keywords: non-equilibrium dynamic; weak chaos; Hamiltonian systems; externally perturbed systems; chaotic dynamics; Lyapunov exponents; smaller alignment index (SALI); chaotic indicators; mappings

Date: 7 July 2025 | 2:00 p.m. CEST | 8:00 p.m. CST Asia | 8:00 a.m. EDT
Webinar ID: 843 5663 2066
Website: https://sciforum.net/event/Mathematics-18

Register now for free!

Speaker / Presentation

Time (CEST)

Time (CST)

Time (EDT)

Dr. Chris Antonopoulos

Chair Introduction

14:00–14:10

20:00–20:10

08:00–08:10

Prof. Dr. Jesús M. Seoane

Forced Chaotic Scattering

14:10–14:40

20:10–20:40

08:10–08:40

Q&A Session

14:40–15:00

20:40–21:00

08:40–09:00

Dr. Juan C. Vallejo

Characterizing Chaotic Dynamics in Some Astronomical Systems

15:00–15:30

21:00–21:30

09:00–09:30

Q&A Session

15:30–15:50

21:30–21:50

09:30–09:50

Dr. Helen Christodoulidi

Energy Localisation and Dynamics of a Mean-Field Model with Nonlinear Dispersion

15:50–16:20

21:50–22:20

09:50–10:20

Q&A Session

16:20–16:40

22:20–22:40

10:20–10:40

Dr. Chris Antonopoulos

Closing Remarks

16:40–16:50

22:40–22:50

10:40–10:50

After registering, you will receive a confirmation email on how to join the webinar. Registrations with academic institutional email addresses will be prioritized.

Unable to attend? Register anyway, and we will let you know when the recording is available for viewing.

Webinar Chair and Keynote Speakers:

  • Dr. Chris Antonopoulos, School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Essex, Essex, UK;
  • Prof. Dr. Jesús M. Seoane, Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Biología y Geología, Física y Química Inorgánica, Universidad Rey Juan Carlos, Madrid, Spain;
  • Dr. Juan C. Vallejo, Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Biología y Geología, Física y Química Inorgánica, Universidad Rey Juan Carlos, Madrid, Spain;
  • Dr. Helen Christodoulidi, School of Mathematics and Physics, University of Lincoln, Lincoln, UK.

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