Title : ( An Open Set of Skew Products with Invariant Multi-graphs and Bony Multi-graphs )
Authors: Maryam Rabiee Farahani , Fateme Helen Ghane Ostadghassemi , marzie zaj ,Access to full-text not allowed by authors
Abstract
The main goal in this paper is to study attracting invariant multi-graphs for a certain class of skew products. 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. These multi-graphs are the support of finitely many ergodic SRB measures. In this study some thermodynamic properties are investigated for these systems.We will provide some sufficient conditions ensuring the existence of equilibrium states supported on invariant multi-graphs. Finally, we extend our results to a family of skew products over a generalized baker map.
Keywords
, Skew product, Invariant graph, Bony multi-graph, Lyapunov exponent, SRB measure, Topological pressure, Equilibrium state@article{paperid:1091825,
author = {Rabiee Farahani, Maryam and Ghane Ostadghassemi, Fateme Helen and Zaj, Marzie},
title = {An Open Set of Skew Products with Invariant Multi-graphs and Bony Multi-graphs},
journal = {Qualitative Theory of Dynamical Systems},
year = {2022},
volume = {21},
number = {4},
month = {October},
issn = {1575-5460},
keywords = {Skew product; Invariant graph; Bony multi-graph; Lyapunov exponent;
SRB measure; Topological pressure; Equilibrium state},
}
%0 Journal Article
%T An Open Set of Skew Products with Invariant Multi-graphs and Bony Multi-graphs
%A Rabiee Farahani, Maryam
%A Ghane Ostadghassemi, Fateme Helen
%A Zaj, Marzie
%J Qualitative Theory of Dynamical Systems
%@ 1575-5460
%D 2022