Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 Softcover reprint of the original 1st ed. 1983 Edition

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 Softcover reprint of the original 1st ed. 1983 Edition book cover

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 Softcover reprint of the original 1st ed. 1983 Edition

Author(s): John Guckenheimer (Author), Philip Holmes (Author)

  • Publisher: Springer
  • Publication Date: 23 Nov. 2013
  • Edition: Softcover reprint of the original 1st ed. 1983
  • Language: English
  • Print length: 478 pages
  • ISBN-10: 1461270200
  • ISBN-13: 9781461270201

Book Description

This book applied 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.

Editorial Reviews

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

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