Three multi-variant versions of distributional chaos in non-autonomous discrete systems

报告题目：Three multi-variant versions of distributional chaos in non-autonomous discrete systems

报 告 人：杨启贵   教授、博导

报告时间：5月23日  15:30-17:30

报告地点：双创中心B309

报告人简介：杨启贵，理学博士，二级教授，博士生导师，华南理工大学教学名师。主要从事微分方程几何理论、混沌动力系统、随机动力系统及其应用等方面的研究与教学工作，重点关注简单系统的混沌复杂性及其形成机理。曾获广西科技进步一等奖、广东省高等教育省级教学成果二等奖，并连续 3 次获评广东省优秀博士论文指导教师。近年来在 J. Differential Equations、J. Nonlinear Science、Chaos、Physica D 等国内外期刊发表论文 150 余篇，主持多项国家自然科学基金项目和省级自然科学基金项目

报告内容摘要：This paper investigates three multi-variant versions of distributional chaos in non-autonomous discrete systems (NADSs). These three types of multi-variant distributional chaos are named n-DC1, n-DC2,and n-DC3, respectively. A method is proposed to construct the three types of chaos (n-DC1, n-DC2, and n-DC3) for any integer

. Furthermore, it is shown that n-DCi can imply 2-DCi, but the inverse is not valid, where

. It is further proved that n-DC1 and n-DC2 can be preserved under iteration, while n-DC3 needs to be preserved under certain conditions. It is also shown that the chaotic dynamic behaviour of the uniformly convergent NADSs can be characterized by their sub-orbits. Moreover, it is shown that n-DC1 and n-DC2 can be preserved under topological conjugacy, but n-DC3 cannot. In three distinct cases, the equivalent conditions are provided for the limit system induced by a uniformly convergent NADS to exhibit n-DC1, n-DC2, or n-DC3.

主办单位：理学院、人工智能研究院

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