The Parameterization Method for Invariant Manifolds / Applied Mathematical Sciences Bd.195 (PDF)
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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 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.
- Autoren: Àlex Haro , Marta Canadell , Jordi-Lluis Figueras , Alejandro Luque , Josep Maria Mondelo
- 2016, 1st ed. 2016, 267 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319296620
- ISBN-13: 9783319296623
- Erscheinungsdatum: 18.04.2016
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“In this monograph, the authors present a unified formulation of the parametrization method applied in some specific contexts … . The monograph contains an extensive bibliography and is recommended to researchers specialized in the theoretical and computational methods for the study of dynamical systems.” (Rodica Luca, zbMATH, 1372.37002, 2017)
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