Bifurcation without Parameters

Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Liebscher, Stefan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes in Mathematics, 2117
Temas:
Differential equations.
Dynamical systems.
Differential Equations.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Methods & Concepts
  • Cosymmetries
  • Codimension One
  • Transcritical Bifurcation
  • Poincar´e-Andronov-Hopf Bifurcation
  • Application: Decoupling in Networks
  • Application: Oscillatory Profiles
  • Codimension Two
  • egenerate Transcritical Bifurcation
  • egenerate Andronov-Hopf Bifurcation
  • Bogdanov-Takens Bifurcation
  • Zero-Hopf Bifurcation
  • Double-Hopf Bifurcation
  • Application: Cosmological Models
  • Application: Planar Fluid Flow
  • Beyond Codimension Two
  • Codimension-One Manifolds of Equilibria
  • Summary & Outlook.

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