The theory developed here (that you will not find in any other course :) has much in common with (and complements) statistical mechanics and field theory courses; partition functions and transfer operators are applied to computation of observables and spectra of chaotic systems.
Nonlinear dynamics 1: Geometry of chaos (see syllabus)
Nonlinear dynamics 1: Geometry of chaos (see syllabus)
- Topology of flows - how to enumerate orbits, Smale horseshoes
- Dynamics, quantitative - periodic orbits, local stability
- Role of symmetries in dynamics
- Transfer operators - statistical distributions in dynamics
- Spectroscopy of chaotic systems
- Dynamical zeta functions
- Dynamical theory of turbulence