References & Citations
Mathematics > Dynamical Systems
Title: Geometric Structure and Ergodic Properties of Bony Multi-Graphs
(Submitted on 7 Jul 2021)
Abstract: The main goal in this paper is to describe the geometric structure of invariant graphs of a certain class of skew products. Our focus is on attracting multi-graphs. An invariant multi-graph is an invariant compact set which is a finite union of invariant graphs, and thus consists of a finite number of points on each fiber. We introduce invariant bony multi-graphs and construct an open set of skew products over an invertible base map (solenoid map) having attracting invariant multi-graphs and bony multi-graphs which support finitely many ergodic SRB measures. In this study some thermodynamic properties are investigated. Finally, we extend our results to a family of skew products over a generalized baker map.
Submission history
From: Maryam Rabiee Farahani [view email][v1] Wed, 7 Jul 2021 21:40:53 GMT (389kb,D)
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