Cantori, islands and asymptotic curves in the stickiness region
type: Item
instance of: scholarly article
title: Cantori, islands and asymptotic curves in the stickiness region
zbMATH Open document ID: 0956.37023
DOI: 10.1023/A:1008359316512
author: Yanyan Li
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2001-03-12T00:00:00Z
review text: The paper gives a numerical study of the dynamics on a 2D-torus generated by the following model map: \[ \begin{aligned} & x_{i+1}:=x_i+y_{i+1}\pmod 1\\ & y_{i+1}:=y_i+\frac K{2\pi}\sin(2\pi x_i)\pmod 1 \end{aligned} \] where \(K\) is an appropriate nonlinearity parameter. The resonant structure near a noble cantorus and the islands of stability located near the gaps of the cantorus are investigated. The crossing of the gaps of the cantorus by the asymptotic curves of unstable periodic orbits is also numerically verified. Moreover, the influence of these structures on the phenomena of stickiness is discussed.
reviewed by: S. V. Zelik
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C27
zbMATH DE Number: 1442264
zbMATH Keywords: iteration of 2D maps
zbMATH Keywords: cantori
zbMATH Keywords: chaotic diffusion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1442264