The Parameterization Method for Invariant Manifolds From Rigorous Results to Effective Computations /

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Haro, Àlex (Autor), Canadell, Marta (Autor), Figueras, Jordi-Lluis (Autor), Luque, Alejandro (Autor), Mondelo, Josep Maria (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Applied Mathematical Sciences, 195
Temas:
Dynamical systems.
System theory.
Numerical analysis.
Differential equations.
Mathematical physics.
Dynamical Systems.
Complex Systems.
Numerical Analysis.
Differential Equations.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • An Overview of the Parameterization Method for Invariant Manifolds
  • Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points
  • The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics
  • The Parameterization Method in KAM Theory
  • A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.

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