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...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Haro, Àlex (Author), Canadell, Marta (Author), Figueras, Jordi-Lluis (Author), Luque, Alejandro (Author), Mondelo, Josep Maria (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Applied Mathematical Sciences, 195
Subjects:
Dynamical systems.
System theory.
Numerical analysis.
Differential equations.
Mathematical physics.
Dynamical Systems.
Complex Systems.
Numerical Analysis.
Differential Equations.
Theoretical, Mathematical and Computational Physics.
Online Access:Texto Completo
Description
Summary: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 and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples,  many of them well known in the literature of numerical computation in dynamical systems.  A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and  applications of computational dynamical systems.
Physical Description:XVI, 267 p. 58 illus., 55 illus. in color. online resource.
ISBN:9783319296623
ISSN:2196-968X ;

Similar Items