The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations (Applied Mathematical Sciences)
Language: English
Published by Springer, 2016
- Hardcover
- New
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- Title
- The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations (Applied Mathematical Sciences)
- Author
- Haro, Àlex; Canadell, Marta; Figueras, Jordi-Lluis; Luque, Alejandro; Mondelo, Josep Maria
- Publisher
- Springer
- Publication year
- 2016
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319296604
- ISBN 13
- 9783319296609
- Series
- Book 76 of 94: Applied Mathematical Sciences
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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