Title Nonlinear oscillations, dynamical systems, and bifurcations of vector fields / John Guckenheimer, Philip Holmes

Edition Second printing, revised and corrected Published New York : Springer-Verlag, [1983] ©1983

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Description xvi, 459 pages : illustrations ; 24 cm Series Applied mathematical sciences ; v. 42 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 42 Contents Machine derived contents note: Chapter 1: Introduction: Differential Equations and Dynamical Systems Chapter 2: An Introduction to Chaos: Four Examples Chapter 3: Local Bifurcations Chapter 4: Averaging and Perturbation from a Geometric Viewpoint Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors Chapter 6: Global Bifurcations Chapter 7: Local Codimension Two Bifurcations of Flows Appendix Suggestions for Further Reading Postscript Added at Second Printing Glossary References Index Notes Includes index Bibliography Bibliography: pages [437]-454 Subject Bifurcation theory. Differentiable dynamical systems. Nonlinear oscillations. Vector fields. Bifurcation theory. Differentiable dynamical systems. Nonlinear oscillations. Vector fields. Author Holmes, Philip LC no. 82019641 ISBN 0387908196 3540908196

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