Theoretical Nonlinear Physics 2 - SoSe 2025 (lecture and problem class), Uwe Thiele

This is part 2 of Theoretical Nonlinear Physics. It focuses on pattern formation in spatially extended systems, i.e., we will consider mathematically infinite-dimensional dynamical systems while part 1 considered finite-dimensional dynamical systems. Systems of interest can show involved spatio-temporal dynamics and are often described by partial differential equations.

Die Vorlesung wird in Englisch gehalten. The lecture is given in English.

Kurs im HIS-LSF

  

The individual chapters are
   Introduction & Revision Dynamical Systems
   Systems and models - from transport equations to order parameter equations
   Stationary states of spatially extended systems and their linear stability
   Bifurcations and weakly nonlinear theory
   Secondary instabilities, defects and chaos

During the course we will also touch: Passive (variational) and active (nonvariational) systems, Reduction methods like multi-scale analysis and amplitude equations, Galerkin approximation, Role of symmetries, Selection mechanisms for patterns, Many paradigmatic models as, e.g., Swift-Hohenberg/Ginzburg-Landau/Kuramoto-Sivashinsky/reaction-diffusion equations


Also enroll on the LearnWeb page of the Master Specialisation "Nonlinear Physics" to obtain general information.
Semester: ST 2025
ePortfolio: No