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The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations by Josep Maria Mondelo, Marta Canadell, Alex Haro, Alejandro Luque, Jordi-Lluis Figueras (Hardcover, 2016)

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.

Author
Josep Maria Mondelo, Marta Canadell, Alex Haro, Alejandro Luque, Jordi-Lluis Figueras
Publication Name
The Parameterization Method for Invariant Manifolds: from Rigorous Results to Effective Computations
Format
Hardcover
Language
English
Subject
Mathematics, Physics
Publication Year
2016
Type
Textbook
Number of Pages
267 Pages

Title_Author
Jordi-Lluis Figueras, Marta Canadell, Alejandro Luque, Alex Haro, Josep Maria Mondelo
Series Title
Applied Mathematical Sciences
Country/Region of Manufacture
Switzerland

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