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

Qiudong Wang

doi:10.3934/dcds.2000.6.255

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

Research output: Contribution to journal › Article › peer-review

Abstract

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 existence of the connecting orbit, but also gives a quantitative estimation on the diffusion time.

Original language	English (US)
Pages (from-to)	255-274
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems
Volume	6
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2000.6.255
State	Published - Apr 2000
Externally published	Yes

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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abstract = "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 existence of the connecting orbit, but also gives a quantitative estimation on the diffusion time.",

author = "Qiudong Wang",

year = "2000",

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

Abstract

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