The Resource Practical bifurcation and stability analysis, Rüdiger Seydel
Practical bifurcation and stability analysis, Rüdiger Seydel
Resource Information
The item Practical bifurcation and stability analysis, Rüdiger Seydel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Practical bifurcation and stability analysis, Rüdiger Seydel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises. Combining an introduction on the textbook level with an exposition of computational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanical engineering, electrical engineering, chemistry and chemical engineering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will be able to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus. In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differentialalgebraic equations, and to reactiondiffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references. Review of Earlier Edition: "The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society
 Language
 eng
 Edition
 3rd ed.
 Extent
 1 online resource (xvii, 483 pages).
 Contents

 Introduction and prerequisites
 Basic nonlinear phenomena
 Applications and extensions
 Principles of continuation
 Calculation of the branching behavior of nonlinear equations
 Calculating branching behavior of boundaryvalue problems
 Stability of periodic solutions
 Qualitative instruments
 Chaos
 Appendix A : Some basic glossary
 Appendix B : Some basic facts from linear algebra
 Appendix C : Some elementary facts form ODEs
 Appendix D : Implicit function theorem
 Appendix E : Special invariant manifolds
 Appendix F : Numerical integration of ODEs
 Appendix G : Symmetric groups
 Appendix H : Proof of theorem 5.8
 Appendix I : Numerical software and packages
 Isbn
 9781441917409
 Label
 Practical bifurcation and stability analysis
 Title
 Practical bifurcation and stability analysis
 Statement of responsibility
 Rüdiger Seydel
 Language
 eng
 Summary
 This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises. Combining an introduction on the textbook level with an exposition of computational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanical engineering, electrical engineering, chemistry and chemical engineering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will be able to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus. In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differentialalgebraic equations, and to reactiondiffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references. Review of Earlier Edition: "The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1947
 http://library.link/vocab/creatorName
 Seydel, R.
 Dewey number
 515/.392
 Index
 index present
 Language note
 English
 LC call number
 QA380
 LC item number
 .S49 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Interdisciplinary applied mathematics
 Series volume
 v. 5
 http://library.link/vocab/subjectName

 Bifurcation theory
 Bifurcation theory
 Bifurcatie
 Chaos
 Randwaardeproblemen
 Periodiciteit
 Dynamische systemen
 Stabiliteit
 Label
 Practical bifurcation and stability analysis, Rüdiger Seydel
 Bibliography note
 Includes bibliographical references (pages 441471) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction and prerequisites  Basic nonlinear phenomena  Applications and extensions  Principles of continuation  Calculation of the branching behavior of nonlinear equations  Calculating branching behavior of boundaryvalue problems  Stability of periodic solutions  Qualitative instruments  Chaos  Appendix A : Some basic glossary  Appendix B : Some basic facts from linear algebra  Appendix C : Some elementary facts form ODEs  Appendix D : Implicit function theorem  Appendix E : Special invariant manifolds  Appendix F : Numerical integration of ODEs  Appendix G : Symmetric groups  Appendix H : Proof of theorem 5.8  Appendix I : Numerical software and packages
 Control code
 567369787
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xvii, 483 pages).
 Form of item
 online
 Isbn
 9781441917409
 Lccn
 2009941054
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441917409
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441917393
 Specific material designation
 remote
 System control number
 (OCoLC)567369787
 Label
 Practical bifurcation and stability analysis, Rüdiger Seydel
 Bibliography note
 Includes bibliographical references (pages 441471) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction and prerequisites  Basic nonlinear phenomena  Applications and extensions  Principles of continuation  Calculation of the branching behavior of nonlinear equations  Calculating branching behavior of boundaryvalue problems  Stability of periodic solutions  Qualitative instruments  Chaos  Appendix A : Some basic glossary  Appendix B : Some basic facts from linear algebra  Appendix C : Some elementary facts form ODEs  Appendix D : Implicit function theorem  Appendix E : Special invariant manifolds  Appendix F : Numerical integration of ODEs  Appendix G : Symmetric groups  Appendix H : Proof of theorem 5.8  Appendix I : Numerical software and packages
 Control code
 567369787
 Dimensions
 unknown
 Edition
 3rd ed.
 Extent
 1 online resource (xvii, 483 pages).
 Form of item
 online
 Isbn
 9781441917409
 Lccn
 2009941054
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441917409
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441917393
 Specific material designation
 remote
 System control number
 (OCoLC)567369787
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