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Record Nr. |
UNINA9910254075703321 |
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Autore |
Haro Àlex |
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Titolo |
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations / / by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (280 p.) |
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Collana |
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Applied Mathematical Sciences, , 0066-5452 ; ; 195 |
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Disciplina |
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Soggetti |
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Dynamics |
Ergodic theory |
Statistical physics |
Numerical analysis |
Differential equations, Partial |
Dynamical Systems and Ergodic Theory |
Complex Systems |
Numerical Analysis |
Partial Differential Equations |
Statistical Physics and Dynamical Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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 |
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