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Practical bifurcation and stability analysis / Rüdiger Seydel.

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Author/Creator:
Seydel, R. (Rüdiger), 1947-
Language:
English.
Publication date:
2010
Imprint:
3rd ed. - New York : Springer Verlag, 2010.
Format:
  • Book
  • xvii, 483 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references (p. [441]-471) and index..
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.
Series:
Interdisciplinary applied mathematics ; 5.
Subjects:
ISBN:
9781441917393
144191739X

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