Canard cycles and center manifolds /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dumortier, Freddy (Autor), Roussarie, Robert H. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1996.
Colección:Memoirs of the American Mathematical Society ; Volume 121, no. 577.
Temas:
Boundary value problems > Asymptotic theory.
Perturbation (Mathematics)
Bifurcation theory.
Problèmes aux limites > Théorie asymptotique.
Perturbation (Mathématiques)
Théorie de la bifurcation.
Bifurcation theory
Boundary value problems > Asymptotic theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 3 Foliations by center manifolds3.1 Normal forms for X at the non-isolated singular points
  • 3.2 Construction of center manifolds
  • 3.2.1 Center manifolds of type I
  • 3.2.2 Center manifolds of type II
  • 3.2.3 Center manifolds of type III
  • 3.2.4 Pictures of the center manifolds
  • 3.3 Foliations by center manifolds
  • 3.3.1 Foliation of type I
  • 3.3.2 Foliation of type II
  • 3.3.3 Foliations of type III
  • 4 The canard phenomenon
  • 4.1 The small limit periodic set
  • 4.2 Relation between the Abelian integrals and the center manifolds
  • 4.3 Explanation of the canard phenomenon by means of center manifolds4.3.1 Canard limit periodic sets of type I
  • 4.3.2 Canard limit periodic sets of type III
  • 4.3.3 Canard limit periodic sets of type II
  • 4.3.4 Bringing the foliations together (as a final step)
  • References
  • Appendix: on the proof of theorem 18

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