Dynamics and Bifurcations: v. 3 (Texts in Applied Mathematics) - Hardcover

Hale, J. K.; Kocak, Huseyin

Hardcover

ISBN 10: 3540971416 ISBN 13: 9783540971412

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992

Synopsis

This study presents 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-honoured chapter in science. In recent years, due primarily to the proliferation of computers, dynamical systems have returned to their 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 behaviour, such as periodic and homoclinic orbits, appears.

About this title

Review:

J.K. Hale, H. Kocak, and H. Buttanri

Dynamics and Bifurcations

"This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism. A refreshing balance is further achieved by the use of many excellent illustrations and a wealth of worked and unworked examples."―MATHEMATIKA

About this edition

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1992
• ISBN 10: 3540971416
• ISBN 13: 9783540971412
• Binding: Hardcover
• Edition number: 3
• Number of pages: 582