【摘要】 在对一些已有的超混沌系统研究和分析的基础上,提出了一个新的四维自治的超混沌系统,这个超混沌系统是通过引入一个状态变量到一个三维自治混沌系统而生成的,它较已有的超混沌系统而言,不仅最大的Lyapunov指数要大一些,而且在参数变化时,呈现超混沌的参数范围也很大.在对该系统进行数值仿真和分形分析的同时,也通过模拟电路对其进行了验证,电路实验结果表明,在电路中分别呈现的周期、伪周期、混沌、超混沌特性与数值仿真中获得的结果是一致的.更多还原

【Abstract】 The paper presents a new four-dimensional autonomous hyper-chaotic system by introducing a state variable into the three-dimensional autonomous chaotic system based on studying and analyzing some hyper-chaos.Compared with other hyperchaotic systems,the bigger positive Lyapunov exponent of the new system is bigger,and the range of hyper-chaos is also wider when the parameter varies.Numerical simulations and bifurcation analysis are done in this paper,and an analog electronic circuit is designed to verify the new system.The experiment results show that various attractors of the hyper-chaotic circuit,including periodic attractor,quasi-periodic attractor,chaotic attractor,hyper-chaotic attractor,are well agree with the simulation results.更多还原