The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations: 195 - Rilegato

Libro 76 di 94: Applied Mathematical Sciences

Haro, Àlex; Canadell, Marta; Luque, Alejandro; Mondelo, Josep Maria; Figueras, Jordi-lluis

 
9783319296609: The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations: 195

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9783319806204: The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations

Edizione in evidenza

ISBN 10:  3319806203 ISBN 13:  9783319806204
Casa editrice: Springer, 2018
Brossura