Practical bifurcation and stability analysis
By: Rüdiger Seydel
Edition: 3rd ed.
Series: Interdisciplinary applied mathematics -- 5; Interdisciplinary applied mathematics -- 5.
Publisher: Springer
Published: 2010
Place of publication: New York
Language: eng
Number of pages: 483
ISBN-13: 9781441917393
Subjects: Stability; Bifurcation theory; Stabilität; Bifurkation; (Math.)
Notes: Includes bibliographical references (p. [441]-471) and index..
Table of contents: title: Introduction and prerequisites; title: Basic nonlinear phenomena; title: Applications and extensions; title: Principles of continuation; title: Calculation of the branching behavior of nonlinear equations; title: Calculating branching behavior of boundary-value problems; title: Stability of periodic solutions; title: Qualitative instruments; title: Chaos; title: Appendix A : Some basic glossary; title: Appendix B : Some basic facts from linear algebra; title: Appendix C : Some elementary facts form ODEs; title: Appendix D : Implicit function theorem; title: Appendix E : Special invariant manifolds; title: Appendix F : Numerical integration of ODEs; title: Appendix G : Symmetric groups; title: Appendix H : Proof of theorem 5.8; title: Appendix I : Numerical software and packages.