Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN-10
0387908196
ISBN-13
9780387908199
Series
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Category
Mathematics
Pages
462
Language
English
Published
2002-02-08
Publisher
Springer
Authors
Philip Holmes, John Guckenheimer

Description

An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

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