Practical Bifurcation and Stability Analysis

Practical Bifurcation and Stability Analysis

Author: Rüdiger U. Seydel

Publisher: Springer Science & Business Media

Published: 2009-11-27

Total Pages: 493

ISBN-13: 1441917403

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Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.


Imperfect Bifurcation in Structures and Materials

Imperfect Bifurcation in Structures and Materials

Author: Kiyohiro Ikeda

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 426

ISBN-13: 1475736975

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Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.


Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory

Author: Yuri A. Kuznetsov

Publisher: Springer Nature

Published: 2023-04-18

Total Pages: 722

ISBN-13: 3031220072

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Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates 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 first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.


Mathematical Population Genetics 1

Mathematical Population Genetics 1

Author: Warren J. Ewens

Publisher: Springer Science & Business Media

Published: 2004-01-09

Total Pages: 448

ISBN-13: 9780387201917

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This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.


Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory

Author: Yuri Kuznetsov

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 648

ISBN-13: 1475739788

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Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates 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 first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.


Mathematical Tools for Physicists

Mathematical Tools for Physicists

Author: Michael Grinfeld

Publisher: John Wiley & Sons

Published: 2015-01-12

Total Pages: 634

ISBN-13: 3527411887

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The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.