# American Institute of Mathematical Sciences

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

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