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The Parameterization Method for Invariant Manifolds

The Parameterization Method for Invariant Manifolds

From Rigorous Results to Effective Computations

by Jordi-Lluis FiguerasAlejandro Luque Marta Canadell and others
Hardback
Publication Date: 26/04/2016
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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.

ISBN:
9783319296609
9783319296609
Category:
Physics
Format:
Hardback
Publication Date:
26-04-2016
Language:
English
Publisher:
Springer
Country of origin:
United States
Dimensions (mm):
235x155mm
Weight:
5.5kg

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