Practical bifurcation and stability analysis

Includes bibliographical references (p. [441]-471) and index..

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.