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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Philip Holmes author John Guckenheimer author

Format:Paperback

Publisher:Springer-Verlag New York Inc.

Published:23rd Nov '13

Currently unavailable, and unfortunately no date known when it will be back

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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.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.

J. Guckenheimer and P. Holmes

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

"The book is rewarding reading . . . The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists . . . Its excellent survey of the mathematical literature makes it a valuable reference."—JOURNAL OF STATISTICAL PHYSICS

ISBN: 9781461270201

Dimensions: unknown

Weight: 735g

462 pages

Softcover reprint of the original 1st ed. 1983