A Siegel theorem for dynamical systems under random perturbations

Weigu Li; Kening Lu

doi:10.3934/dcdsb.2008.9.635

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2008, Volume 9, Issue 3&4: 635-642. Doi: 10.3934/dcdsb.2008.9.635

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A Siegel theorem for dynamical systems under random perturbations

Weigu Li^1, and
Kening Lu^2,

1.
School of Mathematics, Peking University, Beijing 100871
2.
Department of Mathematics, Brigham Young University, Provo, Utah 84602

Received: December 31, 2006

Revised: June 30, 2007

Published: April 2008

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Abstract

In this paper, we generalize the classical Siegel’s theorem for deterministic dynamical systems to that under random perturbations.

Keywords:

Random dynamical systems,
Siegel's theorem.

Mathematics Subject Classification: Primary: 60H15; Secondary: 37H05, 37L55, 37L25, 37D10.

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