一个含指数项超混沌系统的动力学分析及仿真  

Dynamic analysis and simulation of a hyperchaotic systemwith exponential terms

作　　者：张付臣 周雯静 ZHANG Fuchen;ZHOU Wenjing(Chongqing Key Laboratory of Social Economic and Applied Statistics,School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学数学与统计学院经济社会应用统计重庆市重点实验室,重庆400067

出　　处：《重庆理工大学学报（自然科学）》2023年第6期279-284,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金项目(11871122);重庆市自然科学基金面上项目(CSTB2022NSCQ-MSX1548);重庆市教委科技项目(KJQN202100813,KJQN201800818,KJCX2020037);重庆市社会经济与应用统计重点实验室项目(ZDPTTD201909);重庆工商大学科技项目(1952012);重庆工商大学研究生创新项目(yjscxx2023-211-190)。

摘　　要：基于四维超混沌系统,通过数值仿真和理论分析研究了一类含有指数项的四维超混沌系统的动力学行为,包括这类系统的耗散性及其维数、Poincaré截面、Lyapunov指数、初值敏感性、分岔图等性质,揭示了四维超混沌系统的分岔和混沌现象。研究结果表明:此混沌系统具有广阔的应用潜力,可用于数据安全保护和信息加密。Based on the four-dimensional hyperchaotic systems,this paper studies the dynamical behaviors of a kind of four-dimensional hyperchaotic systems with exponential terms through numerical simulation and theoretical analysis.Dissipativity and the dimension of such a system,Poincarécross-section,Lyapunov exponent,initial sensitivity,bifurcation diagrams and other properties are found.Bifurcations and chaotic phenomena of four-dimensional hyperchaotic systems are revealed,and valuable conclusions are drawn.This chaotic system has wide application potential and can be used to protect data security and information encryption.

关 键 词：超混沌 指数项 分岔 稳定性 LYAPUNOV指数 

分 类 号：O175.13[理学—数学] TP391[理学—基础数学]