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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
1985, 1985
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Edition: | 1st ed. 1985 |
Series: | Applied Mathematical Sciences
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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