The diffusion time of the connecting orbit around rotation number zero for the monotone twist maps

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April 2000, 6(2): 255-274. doi: 10.3934/dcds.2000.6.255

The diffusion time of the connecting orbit around rotation number zero for the monotone twist maps

1.	Department of Mathematics, University of California, Los Angeles, CA 90025, United States

Revised August 1999 Published January 2000

Abstract
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We improve Mather's proof on the existence of the connecting orbit around rotation number zero (Proposition 8.1 in [7]) in this paper. Our new proof not only assures the existences of the connecting orbit, but also gives a quantitative estimation on the diffusion time.

Keywords: diffusion time., quantitative stimation, Connecting orbit.

Mathematics Subject Classification: 37Cx.

Citation: Qiudong Wang. The diffusion time of the connecting orbit around rotation number zero for the monotone twist maps. Discrete & Continuous Dynamical Systems - A, 2000, 6 (2) : 255-274. doi: 10.3934/dcds.2000.6.255

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