Parameterization Method for Invariant Manifolds

Parameterization Method for Invariant Manifolds

From Rigorous Results to Effective Computations

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

Springer International Publishing AG

04/2016

267

Dura

Inglês

9783319296609

15 a 20 dias

5502

Descrição não disponível.
An Overview of the Parameterization Method for Invariant Manifolds.- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points.- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics.- The Parameterization Method in KAM Theory.- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.
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Parameterization Method;Invariant Manifolds;Quasi-periodically Forced Dynamical Systems;KAM Theory;Numerical Methods;Automatic Differentiation;Normally Hyperbolic Invariant Manifolds;partial differential equations