Theoretical Nonlinear Physics 1 - WiSe 2025/26 (lecture and problem class), Uwe Thiele

The courses Theoretical Nonlinear Physics focuses on theoretical descriptions of nonlinear phenomena related to self-organization in many areas of science. Part 1 concerns the derivation, analysis and discussion of finite-dimensional models with purely temporal dynamics, i.e., maps (discrete time steps) and flows (ordinary differential equations). In the subsequent Summer semester, part 2 of the lecture course focuses on pattern formation in spatially extended systems.

  

The individual chapters are:

  • Dynamical systems – an overview
  • Maps - analysis of logistic map
  • Flows - linear stability analysis
  • Flows - bifurcations and weakly nonlinear analysis
  • Appearance/disappearance of limit cycles - local and global bifurcations
  • Deterministic chaos - properties and emergence

During the course we will also touch: Variational and nonvariational dynamics, role of symmetries, generic and nongeneric bifurcations.

The lecture will start on Tuesday, 14 October 2025.

The lecture is given in English.

Kurs im HIS-LSF

Semester: WT 2025/26
ePortfolio: No