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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

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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.

Author: John Guckenheimer, Philip Holmes
Publisher: Springer
Published: 02/08/2002
Pages: 462
Binding Type: Hardcover
Weight: 1.79lbs
Size: 9.56h x 6.36w x 1.09d
ISBN: 9780387908199

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