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Book synopsis

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.§§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Parameterization Method for Invariant Manifolds
• Subtitle: From Rigorous Results to Effective Computations
• Author: ?lex Haro, Marta Canadell, Alejandro Luque, Josep Maria Mondelo, Jordi-Lluis Figueras
• Language: English
• Binding: Hardback
• Number of pages: 267
• EAN: 9783319296609
• ISBN: 3319296604
• ID: 02896206
• Publisher: Springer International Publishing AG
• Weight: 5502 g
• Dimensions: 235 × 155 × 22 mm
• Date of publishing: 19. April 2016

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