Per accedir als documents amb el text complet, si us plau, seguiu el següent enllaç: http://hdl.handle.net/2445/33826

Títol:	On the computation of reducible invariant tori on a parallel computer
Autor/a:	Jorba i Monte, Àngel; Olmedo, Estrella
Altres autors:	Universitat de Barcelona
Abstract:	We present an algorithm for the computation of reducible invariant tori of discrete dynamical systems that is suitable for tori of dimensions larger than 1. It is based on a quadratically convergent scheme that approximates, at the same time, the Fourier series of the torus, its Floquet transformation, and its Floquet matrix. The Floquet matrix describes the linearization of the dynamics around the torus and, hence, its linear stability. The algorithm presents a high degree of parallelism, and the computational effort grows linearly with the number of Fourier modes needed to represent the solution. For these reasons it is a very good option to compute quasi-periodic solutions with several basic frequencies. The paper includes some examples (flows) to show the efficiency of the method in a parallel computer. In these flows we compute invariant tori of dimensions up to 5, by taking suitable sections.
Matèries:	-Dinàmica -Teoria ergòdica -Algorismes -Dynamics -Ergodic theory -Algorithms
Drets:	(c) Society for Industrial and Applied Mathematics., 2009
Tipus de document:	Article Article - Versió publicada
Publicat per:	Society for Industrial and Applied Mathematics
Compartir:

Mostra el registre complet del document