Elements of Applied Bifurcation Theory: 112 (Applied Mathematical Sciences) - Softcover

Kuznetsov, Yuri A.

Softcover

ISBN 10: 3031220099 ISBN 13: 9783031220098

Verlag: Springer, 2024

Inhaltsangabe

From Reviews of the First Edition: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." –Mathematical Reviews

This book provides a student or researcher with a solid basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature. It covers the basic topics of the bifurcation theory and can help in composing a course on nonlinear dynamical systems or system theory. This new edition preserves the structure of the previous edition, while updating the context to incorporate recent theoretical and software developments, in particular new and improved numerical methods for bifurcation analysis.

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 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

 

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 3031220099
• ISBN 13: 9783031220098
• Einband: Tapa blanda
• Auflage: 4
• Anzahl der Seiten: 732
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar