Averaging Methods in Nonlinear Dynamical Systems

In this book we have developed the asymptotic analysis of nonlinear dynamical systems. We have collected a large number of results, scattered throughout the literature and presented them in a way to illustrate both the underlying common theme, as well as the diversity of problems and solutions. Whil...

Full description

Bibliographic Details
Main Authors: Sanders, Jan A., Verhulst, Ferdinand (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1985, 1985
Edition:1st ed. 1985
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Basic Material
  • 2 Asymptotics of Slow-time Processes, First Steps
  • 3 The Theory of Averaging
  • 4 Attraction
  • 5 Averaging over Spatial Variables: Systems with Slowly Varying Frequency and Passage through Resonance
  • 6 Normal Forms
  • 7 Hamiltonian Systems
  • 8 Appendices