Asymptotic Expansions and Perturbation Methods

§1 Introduction to Perturbation Theory

• Examples 1
• Examples 2

§2 Theory of Autonomous Systems

§3 Non-linear Oscillators

§4 Linstedts Method

• Examples 3

§5 Method of Multiple Scales

• Examples 4

§6 Floque Theory

§7 WKB Method

• Examples 5
• Examples 6
• Examples 7

§8 Revision