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Dynamics and Bifurcations

Name: Dynamics and Bifurcations
Brand: Springer-Verlag New York Inc.
SKU: 01385095
Price: 29112 HUF
Availability: InStock
Author: Jack K. Hale
ISBN: 9780387971414

Jack K. Hale

Hüseyin Kocak

Language

English

Book Hardback

Libristo code: 01385095

Publishers Springer-Verlag New York Inc., November 1996

This book of ideas and examples about the geometry of dynamics and bifurcations of ordinary differen... Full description

Libristo code: 01385095

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This book of ideas and examples about the geometry of dynamics and bifurcations of ordinary differential equations. The subject of differential and difference equations is an old and much-honored chapter in science. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications. It is the aim of this book to provide a modest foundation of knowledge for undergraduate and beginning graduate students in mathematics or science and engineering. Equations in dimension one and two constitute the majority of the text. It is demonstrated in particular that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Proceeding, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits, appear.