Perturbation theory of dynamical systems
Abstract
Description
This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Summer term 2001, to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory level. Only certain results are proved, and for some of the most important theorems, sketches of the proofs are provided.
Contents:
Chapter 1 - Introduction and Examples
Chapter 2 - Bifurcations and Unfolding
Chapter 3 - Regular Perturbation Theory
Chapter 4 - Singular Perturbation Theory
105 pages, 32 figures
105 pages, 32 figures