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

Hale, Jack K.; Kocak, Hüseyin

Hardcover

ISBN 10: 0387971416 ISBN 13: 9780387971414

Publisher: Springer, 1991

Synopsis

In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, 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

Synopsis:

The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book.

About this edition

• Publisher: Springer
• Publication date: 1991
• ISBN 10: 0387971416
• ISBN 13: 9780387971414
• Binding: Hardcover
• Edition number: 1
• Number of pages: 588
• Illustrator: Buttanri H.