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May  2008, 9(3&4, May): 635-642. doi: 10.3934/dcdsb.2008.9.635

A Siegel theorem for dynamical systems under random perturbations

Weigu Li 1, and  Kening Lu 2,

1. 

School of Mathematics, Peking University, Beijing 100871, China
2. 

Department of Mathematics, Brigham Young University, Provo, Utah 84602

Received  January 2007 Revised  July 2007 Published  February 2008

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, 37D1.
Citation: Weigu Li, Kening Lu. A Siegel theorem for dynamical systems under random perturbations. Discrete and Continuous Dynamical Systems - B, 2008, 9 (3&4, May) : 635-642. doi: 10.3934/dcdsb.2008.9.635
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