Workshop on 

Dynamical Systems: Theory, Modelling and AI 

19–22 November 2025 

Aim and Scope: 

The workshop "Dynamical Systems: Theory, Modelling, and AI" at Stellenbosch University aims to bring together researchers, educators, and students working on the theory, applications, and modern computational approaches to dynamical systems.

The program will explore the synergy between classical methods such as Lie symmetries and integrable systems and contemporary techniques involving machine learning and AI. Through a carefully curated schedule, the workshop will emphasize the role of dynamical systems and differential equations in modeling complex systems across physics, biology, economics, ecological and epidemic modeling, environmental sciences, neural DEs and physics-informed neural networks, data-to-DEs models, reduced-order modeling, surrogate modeling with AI, and the use of computer algebra systems. 

The event will foster knowledge exchange and collaboration, highlighting recent developments and future directions in solving and understanding differential equations using both analytical and AI-powered tools.

WORKSHOP THEME

Day 1: Mathematical Methods for the treatment of Differential Equations (DEs)

•  Lie Symmetries and Group Analysis of DEs

•  Integrable Systems and Painlevé Analysis

•  Geometric Theory of DEs

•  Modern Techniques for the treatment of DEs

Day 2: Differential Equations in Natural World DEs in Physics

•  Ecological and Epidemic Modeling with Nonlinear Systems

•  Economic Dynamics and Market Models via DEs

•  DEs in Climate and Environmental Science

Day 3: Modern Computational Approaches

•  Computer Algebra Systems in DEs Research

•  Neural DEs and Physics-Informed Neural Networks

•  From Data to DEs Models

•  Reduced Order Modeling & Surrogate Modeling with AI

WORKSHOP POSTER