物理学报2016，Vol.65Issue(3)：030504-1-030504-7,7.DOI:10.7498/aps.65.030504
一个二次多项式混沌系统的均匀化及其熵分析∗
Homogenization and entropy analysis of a quadratic p olynomial chaotic system
摘要
Abstract
In this paper, firstly we construct a quadratic chaotic system and prove that it is a topological conjugate system of Tent map. Secondly, having analyzed the probability density function of the system, we propose an anti-trigonometric function map. Additionally, the performances of the quadratic chaotic system such as information entropy, Kolmogorov entropy and discrete entropy are tested for both the original systems and the homogenized systems with different parameters. Numerical simulations show that the information entropy of the uniformly distributed sequence is close to the theoretical limit and the discrete entropy remains unchanged. This result shows that the homogenization method is effective. In conclusion, the chaotic sequence after homogenization not only inherits the diverse properties of the original sequence, but also exhibits better uniformity.关键词
混沌系统/信息熵/Kolmogorov熵/离散熵Key words
chaos system/information entropy/Kolmogorov entropy/discrete entropy引用本文复制引用
臧鸿雁,柴宏玉..一个二次多项式混沌系统的均匀化及其熵分析∗[J].物理学报,2016,65(3):030504-1-030504-7,7.基金项目
国家自然科学基金(批准号61170037)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.61170037) （批准号61170037）
