Practical bifurcation and stability analysis /

Opis bibliograficzny
1. autor: Seydel, R.
Format: Printed Book
Język:English
Wydane: New York : Springer, c2010.
Wydanie:3rd ed.
Seria:Interdisciplinary applied mathematics ; 5.
Hasła przedmiotowe:
Bifurcation theory.
Stability.
Bifurkation > (Math.)
Stabilität > (Math.)
Spis treści:
  • 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.

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