标题：Chaotic polynomial maps
作者机构：[Zhang, Xu ] School of Mathematics and Statistics, Shandong University, Weihai Shandong; 264209, China
会议名称：7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018
会议日期：27 August 2018 through 31 August 2018
来源：Journal of Physics: Conference Series
摘要：The existence of Smale horseshoes in a class of random polynomial maps on the plane is studied. The conditions under which there are invariant sets on which the maps are topologically conjugate with the fullshift on two symbols are obtained. The system is chaotic in the sense of both Li-Yorke and Devaney. The dynamical behavior of the random systems can be described by the product of a probability space and the symbolic space with the two-sided fullshift. © 2018 Institute of Physics Publishing. All rights reserved.