2001/11/15 by Nils Berglund, Berglund, Nils
Mathematics · Physics and Astronomy · #37-01 #Chaotic Dynamics (nlin.CD) #FOS: Mathematics #FOS: Physical sciences #History and Overview (math.HO) #math.HO #msc:37-01 #nlin.CD
paper · pdf · doi:10.48550/arxiv.math/0111178
105 pages, 32 figures
arxiv created 2001/11/15 · arxiv updated 2009/11/30
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