In this book we have developed the asymptotic analysis of nonlinear dynamical systems. We have collected a large number of results, scattered throughout the lit

Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the

Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equati

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first pa

This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foun