vix.ing · top · new · best · stats · spec

Ergodic properties of families of Hénon maps

2017/08/18 by Ratna Pal, Pal, Ratna, Kaushal Verma +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1708.06247

arXiv admin note: text overlap with arXiv:1507.07097

arxiv created 2017/08/18 · arxiv updated 2017/08/22

Abstract

Let \Hλ\ be a continuous family of Hénon maps parametrized by λ∈ M, where M⊂\mathbb Ck is compact. The purpose of this paper is to understand some aspects of the random dynamical system obtained by iterating maps from this family. As an application, we study skew products of Hénon maps and obtain lower bounds for their entropy.

Citations

Related