arXiv Analytics

Sign in

arXiv:1707.07786 [math.DS]AbstractReferencesReviewsResources

Chaotic dynamics of minimal center of attraction for a flow with discrete amenable phase group

Zhijing Chen, Xiongping Dai

Published 2017-07-25Version 1

Let $G$ be a discrete infinite amenable group, which acts from the left on a compact metric space $X$. In this paper, we study the chaotic dynamics exhibited inside and near a minimal center of attraction of $(G,X)$ relative to any F{\o}lner net in $G$.

Comments: 15 pages; to appear in JMAA
Categories: math.DS, math.GN
Subjects: 37B20, 37B05, 54H20
Related articles: Most relevant | Search more
arXiv:1507.00551 [math.DS] (Published 2015-07-02)
Multiple Recurrence and Minimal Center of Attraction of a Lagrange Stable Motion for Topological Semiflows
arXiv:math/0603575 [math.DS] (Published 2006-03-24)
On Raw Coding of Chaotic Dynamics
arXiv:2312.13819 [math.DS] (Published 2023-12-21)
Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem