Global aspects of homoclinic bifurcations of vector fields /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Homburg, Ale Jan, 1966- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1996.
Colección:Memoirs of the American Mathematical Society ; Volume 121, no. 578.
Temas:
Bifurcation theory.
Vector fields.
Differentiable dynamical systems.
Théorie de la bifurcation.
Champs vectoriels.
Dynamique différentiable.
Bifurcation theory
Differentiable dynamical systems
Vector fields
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • 1 Introduction
  • 2 Invariant manifolds and foliations
  • 2.1 Construction of foliations and invariant manifolds
  • 2.2 Saddle-saddle type homoclinic bifurcation
  • 2.3 Generalized homoclinic orbits
  • 3 Homoclinic intermittency
  • 3.1 Properties of the Poincare return map
  • 3.2 An orientable centre manifold
  • 3.3 A nonorientable centre manifold
  • 4 Suspended basic sets
  • 4.1 Properties of the Poincare return map
  • 4.2 The orientable suspended horseshoe
  • 4.3 The nonorientable suspended horseshoe
  • 4.4 Several generalized homoclinic orbits
  • Appendix A: Invariant foliationsA.1 Linearisation on a centre manifold
  • A.2 Smoothness of foliations
  • Bibliography

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