Elements of Applied Bifurcation Theory (Applied Mathematical Sciences, 112) - Hardcover

Kuznetsov, Yuri A.

Hardcover

ISBN 10: 3031220064 ISBN 13: 9783031220067

Publisher: Springer, 2023

Synopsis

 This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.

 The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. 

This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis.

 From reviews of earlier editions:

 "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - Math Reviews

 "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." - Bulletin of the AMS

 "It is both a toolkit and a primer" - UK Nonlinear News

About this title

From the Back Cover

 This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.

 The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. 

This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and moderntechniques for bifurcation analysis.

 From reviews of earlier editions:

 "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - Math Reviews

 "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." - Bulletin of the AMS

 "It is both a toolkit and a primer" - UK Nonlinear News

 "The material is presented in a systematic and very readable form. It covers recent developments in bifurcation theory, with special attention to efficient numerical implementations.” - Bulletin of the Belgian Mathematical Society

 

Edition details

• Publisher: Springer
• Publication date: 2023
• Language: English
• ISBN 10: 3031220064
• ISBN 13: 9783031220067
• Binding: Hardcover
• Edition number: 4
• Number of pages: 729