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Mathematics Webinar | Advances in Hamiltonian Transport and Chaotic Dynamics

3 July 2025, 14:00 (CEST)

Registration Deadline
3 July 2025

Hamiltonian Transport, Hamiltonian Systems, Chaotic Dynamics, Lyapunov Exponents, Smaller Alignment Index SALI, Chaotic Indicators, Mappings
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Welcome from the Chair

Hamiltonian systems are central to both classical and modern physics. They describe a broad spectrum of dynamical phenomena, ranging from celestial mechanics and plasma confinement to molecular interactions. This workshop, Advances in Hamiltonian Transport and Chaotic Dynamics, will explore recent progress in understanding the complex mechanisms driving phase space transport and the emergence of chaos in conservative and dissipative systems. Special emphasis will be placed on the role of invariant structures, such as tori, cantori, and resonant webs; the interplay between order and chaos; and the development and application of modern chaotic indicators. Key topics include Arnold diffusion, resonant dynamics, chaotic scattering, chaos indicators, and the statistical features of transport in both low- and high-dimensional Hamiltonian systems. The workshop aims to stimulate interdisciplinary dialogue by bringing together experts from mathematics, physics, and applied sciences to share insights, present theoretical advancements, and discuss cutting-edge computational techniques. Through interactive sessions and collaborative discussion, the event will foster new connections and inspire future research in this dynamic and foundational area.

Date: 3rd July 2025

Time: 02:00 pm CEST | 08:00 pm CST (Asia)

Webinar ID: 851 4517 9752

Webinar Secretariat: journal.webinar@mdpi.com

Event Chairs

School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Essex

Introduction
Bio
Dr Antonopoulos holds a BSc in Mathematics from the University of Crete (1999) and an MSc (2002) and PhD (2007) in Applied Mathematics from the University of Patras, where he studied stability and chaos in multi-dimensional Hamiltonian systems. He held a postdoctoral position at Université Libre de Bruxelles (ULB), working on statistical mechanics and Hamiltonian dynamics, followed by a research role at the University of Patras on the EU-funded “Complex Matter” project. In 2012, he joined the University of Aberdeen’s Institute for Complex Systems and Mathematical Biology as an EPSRC Research Fellow, focusing on modelling complex systems using information dynamics. Since 2015, he has been a lecturer at the University of Essex, teaching and researching dynamical systems, chaos theory, complex networks, and computational neuroscience, with applications to brain dynamics and COVID-19 spread. He is a member of the IMA and LMS, and serves as Essex's IMA representative. Dr Antonopoulos is an editor for Scientific Reports, Open Physics, and several Frontiers journals. He has published 59 peer-reviewed papers, given 59 talks (19 invited), and organized sessions at major conferences. His h-index is 24 with 2,888 citations. He has supervised four postgraduates and currently mentors three PhD students. His research combines mathematics and modelling to understand complex systems, with active collaborations in the UK and internationally.

Invited Speakers

São Paulo State University (UNESP), Institute of Geosciences and Exact Sciences, 13506-900, Rio Claro, SP, Brazil

Introduction
Bio
Prof. Dr. Edson Denis Leonel is a professor of Physics at São Paulo State University (UNESP), Brazil. His research focuses on nonlinear dynamics, statistical mechanics, and phase transitions in low-dimensional systems. He has authored several books and numerous scientific papers on chaotic diffusion and scaling laws, and has organized international conferences on complex systems. He is also actively involved in academic leadership, serving as Dean of the Institute of Geosciences and Exact Sciences at UNESP.

Federal Institute of Education, Science and Technology of South of Minas Gerais - IFSULDEMINAS, Brazil

Introduction
Bio
Prof. Dr. Joelson Dayvison Veloso Hermes is a professor at the Federal Institute of Education, Science and Technology of South of Minas Gerais (IFSULDEMINAS), Brazil. He holds a Ph.D. in Physics from São Paulo State University (UNESP) and is currently a postdoctoral researcher at the Institute of Physics of the University of São Paulo (USP). His research interests include nonlinear dynamics, Hamiltonian systems, and the application of Slater’s theorem to the study of invariant structures in dynamical systems such as the Fermi-Ulam model and billiards. He is also engaged in the analysis of parameter spaces in discrete dynamical systems, with a focus on periodicity cascades, extreme and superstable curves, and fractal structures in maps.

1) São Paulo State University (UNESP), Institute of Geosciences and Exact Sciences, 13506-900, Rio Claro, SP, Brazil 2) University of Essex, School of Mathematics, Statistics and Actuarial Science, CO4 3SQ, Wivenhoe Park, Colchester, United Kingdom

Introduction
Bio
Dr. Matheus Rolim Sales is a postdoctoral researcher at University of Essex, Colchester, and my research interest ranges from Hamiltonian dynamics and characterization of stickiness to diffusion and transport of chaotic trajectories in phase space. I’m also interested in complex networks, adaptive networks, synchronization and chimera-like states.

Program

Speaker/Presentation

Time in CEST/CET

Dr. Chris Antonopoulos

Chair Introduction

14:00 – 14:10

Prof. Dr. Edson Denis Leonel

Exploring a Second-order Phase Transition in Chaotic Systems

14:10 – 14:40

Q&A Session

14:40 – 15:00

Prof. Dr. Joelson Dayvison Veloso Hermes

Exploring Invariant Curves in Hamiltonian Systems via Slater’s Theorem

15:00 – 15:30

Q&A Session

15:30 – 15:50

Dr. Matheus Rolim Sales

Recurrence Time Entropy as a Diagnostic for Stickiness in Weakly Chaotic Dynamics

15:50 – 16:20

Q&A Session

16:20 – 16:40

Dr. Chris Antonopoulos

Closing of Webinar

16:40 – 16:50

Registration

This is a FREE webinar. After registering, you will receive a confirmation email containing information on how to join the webinar.

Registrations with academic institutional email addresses will be prioritized.

Certificates of attendance will be delivered to those who attend the live webinar.

Can't attend? Register anyway and we'll let you know when the recording is available to watch.

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