John Guckenheimer, “Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fieldss" (repost)

ISBN: 0387908196

Category: Study


Posted on 2012-04-18. By anonymous.

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John Guckenheimer, Philip Holmes “Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fieldss"
ISBN: 0387908196 | edition 1983 | PDF | 823 pages | 19,5 mb

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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