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Averaging Methods in Nonlinear Dynamical Systems

Edition: 
2
Publisher: 
Springer Verlag
Number of Pages: 
431
Price: 
79.95
ISBN: 
978-0-387-48916-2
Date Received: 
Friday, June 15, 2007
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Jan A. Sanders, Ferdinand Verhulst, and James Murdock
Series: 
Applied Mathematical Sciences 59
Publication Date: 
2007
Format: 
Hardcover
Category: 
Monograph

 Basic Material and Asymptotics.- Averaging: the Periodic Case.- Methodology of Averaging.- Averaging: General Case.- Attraction.- Periodic Averaging and Hyperbolicity.- Averaging Over Angles.- Passage Through Resonance.- From Averaging to Normal Forms.- Hamiltonian Normal Form Theory.- Classical (First Level) Normal Form Theory.- Nilpotent (Classical) Normal Form.- Higher Level Normal Form Theory.- A. The The History of the Theory of Averaging.- B. A 4-dimensional Example of Hopf Bifurcation.- C. Invariant Manifolds by Averaging.- D. Celestial Mechanics.- E. On Averaging Methods for Partial Differential Equations.- References.- Index of Definitions & Descriptions.

Publish Book: 
Modify Date: 
Monday, April 7, 2008

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