Parameterization Method for Invariant Manifolds

From Rigorous Results to Effective Computations

Häftad, Engelska, 2018

Av Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo, Alex Haro

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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.

Produktinformation

Utgivningsdatum2018-04-22
Mått155 x 235 x 16 mm
Vikt435 g
FormatHäftad
SpråkEngelska
SerieApplied Mathematical Sciences
Antal sidor267
FörlagSpringer International Publishing AG
ISBN9783319806204

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“This book provides a unified formulation of the parametrization method (PM), which can be used to study different problems in the theory of dynamical systems. … The monograph can be recommended to mathematicians, scientists and engineers who are interested in the theory and application of dynamical systems as a reference book. It can also be used as a textbook for graduate students in courses on the mathematical theory of dynamical systems.” (Martin Hermann, Mathematical Reviews, March, 2017) “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)