Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences Vol. 42)
ISBN-13:
9783540908197
ISBN-10:
3540908196
Author:
Philip Holmes, John Guckenheimer
Publication date:
1990
Publisher:
Springer Verlag
Format:
Hardcover
475 pages
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Book details
ISBN-13:
9783540908197
ISBN-10:
3540908196
Author:
Philip Holmes, John Guckenheimer
Publication date:
1990
Publisher:
Springer Verlag
Format:
Hardcover
475 pages
Summary
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences Vol. 42) (ISBN-13: 9783540908197 and ISBN-10: 3540908196), written by authors
Philip Holmes, John Guckenheimer, was published by Springer Verlag in 1990.
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Description
This volume applies the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking the 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 the reader develop an intuitive feel for the properties involved. In this fifth printing the authors have corrected further errors, oversights and updates.
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