Relation Between Topological Entropies and Fractal Dimensions of Chaotic Attractors of the Henon Map

摘要：

In two-dimensional chaotic dynamics, relationship between fractal dimensions and topological entropies is an important issue to understand the chaotic attractors of Henon map. we proposed a efficient approach for the estimation of topological entropies through the study on the integral relationship between fractal dimensions and topological entropies. Our result found that there is an approximate linear relation between their topological entropies and fractal dimensions.

关键词： fractal dimension topological entropy Henon map chaotic attractor

作者: XiaoZhou Chen LiangLin Xiong Long Li

作者单位: School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031,China Kunming Institute of Physics, Kunming 650221,China

会议类型: 国际会议

会议名称: 2012 International Conference on Advanced Materials Design and Machanics(2012先进材料设计与机械学国际会议 ICAMDM 2012)

会议地点: 厦门

会议语种:英文

页码: 447-450

在线出版日期: 2012-06-05（万方平台首次上网日期，不代表论文的发表时间）