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

Guckenheimer, John; Holmes, Philip

 
9780387908199: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 (Applied Mathematical Sciences)

Inhaltsangabe

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.

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Críticas

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

Reseña del editor

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.

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Weitere beliebte Ausgaben desselben Titels

9781461270201: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: 42 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  1461270200 ISBN 13:  9781461270201
Verlag: Springer, 2013
Softcover