I've had a love/hate relationship with this text for the past two years. Originally, I had purchased it to accompany lectures notes for a graduate-level bifurcation theory course, and at the time, I made use of it, albeit not much. Fast forward one year later, and I've been referring to this book constantly for the past two months. The following is relevant to Chapters 3 to 5, of which I read most thoroughly.
Kuznetsov's proofs are detailed and do not leave much work for the reader to sort out. Being marketed as an introductory text, they should be. His presentation of normal forms and center manifold reduction is very clear, and in particular, Section 5.4 on calculation of… Read more