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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)255-274
Number of pages20
JournalDiscrete and Continuous Dynamical Systems
Volume6
Issue number2
StatePublished - Apr 2000
Externally publishedYes

Fingerprint

Connecting Orbits
Twist Map
Monotone Map
Rotation number
Orbits
Zero
Proposition

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

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title = "The diffusion time of the connecting orbit around rotation number zero for the monotone twist maps",
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 = "Qiu-Dong Wang",
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