Normal view MARC view ISBD view

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

By: Sanders, J.AContributor(s): Verhulst, F | Murdock, JMaterial type: Text

TextSeries: (Applied mathematical sciences) ; v. 59Publication details: New York: Springer, 2007Edition: 2nd edDescription: xxi, 431 p. : ill. ; 24 cmISBN: 9780387489162Subject(s): Differentiable dynamical systems | Differential equations | MathematicsDDC classification: 515.7

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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings ( 1 )
Title notes ( 1 )
Comments ( 0 )

Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.7 SAN/A (Browse shelf(Opens below))	Available		P25371

Total holds: 0

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.

There are no comments on this title.

to post a comment.