I am working on my thesis which is about oscillations and as far as I realise I need to know about perturbation theory and methods in solving differential equations, specifically dynamical systems. A Googling returned the following results:
- http://arxiv.org/abs/math/0111178
- http://www.scholarpedia.org/article/Perturbation_theory_(dynamical_systems)
- http://www.cims.nyu.edu/~eve2/reg_pert.pdf
- http://link.springer.com/book/10.1007/978-1-4612-5700-4
Does anybody have any suggestion? First one seems reasonable but I am not sure about the quality. Second and third one is very general. Forth one is only about finite dimensional linear operators and quite long. What I am looking for is a concise and short introductory text for perturbation theory in Dynamical Systems.