Practical bifurcation and stability analysis
Seydel, R. 1947-
Practical bifurcation and stability analysis Rüdiger Seydel. - 3rd ed. - New York : Springer, c2010. - xvii, 483 p. : ill. ; 24 cm. - Interdisciplinary applied mathematics ; 5 . - Interdisciplinary applied mathematics ; 5. .
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.
9781441917393
2009941054
Bifurcation theory.
Stability.
Bifurkation--(Math.)
Stabilität--(Math.)
QA380 / .S49 2010
Practical bifurcation and stability analysis Rüdiger Seydel. - 3rd ed. - New York : Springer, c2010. - xvii, 483 p. : ill. ; 24 cm. - Interdisciplinary applied mathematics ; 5 . - Interdisciplinary applied mathematics ; 5. .
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.
9781441917393
2009941054
Bifurcation theory.
Stability.
Bifurkation--(Math.)
Stabilität--(Math.)
QA380 / .S49 2010