| 一个新五维超混沌系统的动力学分析 |
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| 引用本文： | 魏亚东,周爱军.一个新五维超混沌系统的动力学分析[J].舰船电子工程,2012(7):68-69,100. |
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| 作者姓名： | 魏亚东 周爱军 |
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| 作者单位： | 海军大连舰艇学院研究生2队;海军大连舰艇学院装备自动化系 |
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| 摘 要： | 基于超混沌Lorenz系统,通过引入一个线性控制器,构造了一个新的五维超混沌系统。采用数值模拟的方法,研究了该系统的动力学行为,包括平衡点的稳定性、系统分叉图、混沌吸引子相图、Lyapunov指数谱等。结果表明,新五维超混沌系统随着引入参数的变化呈现周期、混沌及超混沌等动力学行为,并且扩大了系统处于超混沌状态的参数范围,可用于混沌保密通信。
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| 关 键 词： | 超混沌系统 相图 分叉图 Lyapunov指数 |
Dynamics Analysis of a Novel Five-dimensional Hyperchaotic System |
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| WEI Yadong,ZHOU Aijun.Dynamics Analysis of a Novel Five-dimensional Hyperchaotic System[J].Ship Electronic Engineering,2012(7):68-69,100. |
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| Authors: | WEI Yadong ZHOU Aijun |
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| Institution: | 1.Postgradurate Team 2 of Dalian Naval Academy,Dalian 116018)(2.Department of Equipment Automation,Dalian Naval Academy,Dalian 116018) |
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| Abstract: | A new five-dimensional hyperchaotic system is constructed by adding a linear feedback controller to the Lorenz hyperchaotic system.The basic dynamic behaviors of the system including the stability of equilibriums,the bifurcation diagram,strange attractors and Lyapunov exponents were analyzed by means of numerical simulations.Results show this five-dimensional hyperchaotic system has the periodic,the chaos and the hyperchaos dynamic behaviors when the system parameter is varied in detail.Besides,the parameter range which makes the system in hyperchaos state is extended and it can be used to secured communication. |
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| Keywords: | hyperchaotic system phase diagram bifurcation diagram Lyapunov exponents |
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