MA956 - Nonlinear Dynamics

Term(s): Term 1

Commitment: 30 lectures

Assessment: Oral exam

Prerequisites: Familiarity with topics covered in MA4H0 Applied Dynamical Systems

Content: Uniformly hyperbolic dynamics, Normally hyperbolic submanifolds, Non-autonomous dynamics, Bifurcations, Hamiltonian dynamics, Examples of their use in science

References:

Guckenheimer & Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, 1983)

Arrowsmith & Place, An introduction to dynamical systems (CUP, 1990)

Hasselblatt & Katok, Introduction to the modern theory of dynamical systems (CUP, 1995)

Robinson, Dynamical Systems (CRC, 1998)