重庆理工大学学报(自然科学) ›› 2023, Vol. 37 ›› Issue (6): 279-284.
• 数学·统计学 • 上一篇 下一篇
张付臣,周雯静
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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。
关键词: 超混沌, 指数项, 分岔, 稳定性, Lyapunov指数
Abstract: 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,Poincaré cross-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.
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张付臣, 周雯静. 一个含指数项超混沌系统的动力学分析及仿真[J]. 重庆理工大学学报(自然科学), 2023, 37(6): 279-284.
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http://clgzk.qks.cqut.edu.cn/CN/Y2023/V37/I6/279
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