Averaging Methods in Nonlinear Dynamical Systems

by Jan A. Sanders, Ferdinand Verhulst, James Murdock

Basic Material and Asymptotics.- Averaging: the Periodic Case.- Methodology of Averaging.- Averaging: the 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.- The History of the Theory of Averaging.- A 4-Dimensional...

• Format: Paperback
• Language: English
• ISBN: 1441923764
• ISBN13: 9781441923769
• Release Date: November 2010
• Publisher: Springer
• Length: 434 Pages
• Weight: 1.41 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"