Repositório Digital

A- A A+

Stochastic perturbations in open chaotic systems : random versus noisy maps

.

Stochastic perturbations in open chaotic systems : random versus noisy maps

Mostrar registro completo

Estatísticas

Título Stochastic perturbations in open chaotic systems : random versus noisy maps
Autor Bodái, Tamás
Altmann, Eduardo Goldani
Endler, Antônio
Abstract We investigate the effects of random perturbations on fully chaotic open systems. Perturbations can be applied to each trajectory independently (white noise) or simultaneously to all trajectories (random map). We compare these two scenarios by generalizing the theory of open chaotic systems and introducing a time-dependent conditionally-map-invariant measure. For the same perturbation strength we show that the escape rate of the random map is always larger than that of the noisy map. In random maps we show that the escape rate κ and dimensions D of the relevant fractal sets often depend nonmonotonically on the intensity of the random perturbation. We discuss the accuracy (bias) and precision (variance) of finite-size estimators of κ and D, and show that the improvement of the precision of the estimations with the number of trajectories N is extremely slow (∝1/ 1nN). We also argue that the finite-size D estimators are typically biased. General theoretical results are combined with analytical calculations and numerical simulations in area-preserving baker maps.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87, no. 4 (Apr. 2013), 042902, 12 p.
Assunto Caos
Processos estocasticos
Processos randômicos
Ruído branco
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/101843
Arquivos Descrição Formato
000897753.pdf (3.014Mb) Texto completo (inglês) Adobe PDF Visualizar/abrir

Este item está licenciado na Creative Commons License

Este item aparece na(s) seguinte(s) coleção(ões)


Mostrar registro completo

Percorrer



  • O autor é titular dos direitos autorais dos documentos disponíveis neste repositório e é vedada, nos termos da lei, a comercialização de qualquer espécie sem sua autorização prévia.
    Projeto gráfico elaborado pelo Caixola - Clube de Criação Fabico/UFRGS Powered by DSpace software, Version 1.8.1.