Averaging methods in nonlinear dynamical systems/ J.A. Sanders, F. Verhulst and J. Murdock

By:

Sanders, J.A

Contributor(s):

Material type:

TextSeries: (Applied mathematical sciences) ; v. 59Publication details: New York: Springer, 2007.Edition: 2nd edDescription: xxi, 431 p. : ill. ; 24 cmISBN:

9780387489162

Subject(s):

DDC classification:

515.7 SAN/A

Contents:

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 Example of Hopf Bifurcation -- Invariant Manifolds by Averaging -- Some Elementary Exercises in Celestial Mechanics -- On Averaging Methods for Partial Differential Equations.

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Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	General Books	Central Library, Sikkim University General Book Section				515.7 SAN/A (Browse shelf(Opens below))					Available			P25371

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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 Example of Hopf Bifurcation --
Invariant Manifolds by Averaging --
Some Elementary Exercises in Celestial Mechanics --
On Averaging Methods for Partial Differential Equations.

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