一个新的四维超混沌系统及其分析

一个新的四维超混沌系统及其分析 A Novel Four-Dimensional Hyperchaotic System and Its Analysis 高智中 GAO Zhizhong 1 first-author 安徽科技学院理学院 安徽科技学院理学院 College of Science,Anhui Science and Technology University,Fengyang College of Science,Anhui Science and Technology University,Fengyang 为了产生更复杂的超混沌信号用于混沌保密通信,构造了一个新的四维超混沌系统.利用理论分析和数值仿真手段,详细地分析了该系统平衡点的性质、吸引子的相图、时间响应、功率谱、分岔图和Lyapunov指数谱等基本动力学特性.结果分析表明,新的四维系统随着典型参数的变化呈现周期、拟周期、混沌及超混沌动力学的行为. In order to generate more complex hyperchaotic signals for chaotic information engineering,a new four-dimensional hyperchaotic system is built in the paper.Some of its basic dynamical properties,such as the feature of equilibrium,the attractors,the time response,the power spectrum,the bifurcation diagram and the Lyapunov exponent spectrum,are studied in detail by means of theoretical analysis and numerical simulation.Results show that the new system’s dynamics behavior can be periodic,quasi-periodic,chaotic and hyperchaotic as the typical parameter varies. 超混沌系统 相图 分岔图 Lyapunov指数谱 hyperchaotic system phase diagram bifurcation diagram Lyapunov exponents spectrum 10.14188/j.1671-8836.2011.03.015 O415.5 安徽科技学院引进人才项目（ZRC2010260） 2011-03-01 2021-04-01 3 57