Perturbation theory of dynamical systems

Details Perturbation theory of dynamical systems Perturbation theory of dynamical systems

2001-11-15

arxiv.org/abs/math/0111178v1

Mathematics

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105 pages, 32 figures

Scientific paper

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

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