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The Parameterization Method for Invariant Manifolds. From Rigorous Results to Effective Computations.
Haro, Alex; Canadell, Marta; Luque, Alejandro; Mondelo, Josep Maria; Figueras, Jordi-Lluis
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Description for The Parameterization Method for Invariant Manifolds. From Rigorous Results to Effective Computations.
Hardback. Series: Applied Mathematical Sciences. Num Pages: 283 pages, 3 black & white illustrations, 55 colour illustrations, biography. BIC Classification: PBKJ; PBKS; PBWR; PHS. Category: (G) General (US: Trade). Dimension: 235 x 155 x 18. Weight in Grams: 590.
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 ... Read more
Show LessProduct Details
Format
Hardback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
283
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
267
Place of Publication
Cham, Switzerland
ISBN
9783319296609
SKU
V9783319296609
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for The Parameterization Method for Invariant Manifolds. From Rigorous Results to Effective Computations.
“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 ... Read more