Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields: Vol 42 (Applied Mathematical Sciences) - Hardcover

Guckenheimer, John; Holmes, Philip

Hardcover

ISBN 10: 3540908196 ISBN 13: 9783540908197

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1986

Synopsis

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.

About this title

Review

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

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1986
• ISBN 10: 3540908196
• ISBN 13: 9783540908197
• Binding: Hardcover
• Language: English
• Number of pages: 475