Coverart for item
The Resource Practical bifurcation and stability analysis, Rüdiger Seydel

Practical bifurcation and stability analysis, Rüdiger Seydel

Label
Practical bifurcation and stability analysis
Title
Practical bifurcation and stability analysis
Statement of responsibility
Rüdiger Seydel
Creator
Subject
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 differential-algebraic equations, and to reaction-diffusion 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
Member of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 441-471) 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 boundary-value 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
10.1007/978-1-4419-1740-9
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-1739-3
Specific material designation
remote
System control number
(OCoLC)567369787
Label
Practical bifurcation and stability analysis, Rüdiger Seydel
Publication
Bibliography note
Includes bibliographical references (pages 441-471) 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 boundary-value 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
10.1007/978-1-4419-1740-9
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-1739-3
Specific material designation
remote
System control number
(OCoLC)567369787

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...