一个超混沌Lorenz吸引子及其电路实现

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通过在三阶Lorenz系统中引入一个外加的状态变量构造了一个新的超混沌系统.对系统的一些基本特性,如耗散性、平衡点、稳定性、Hopf分叉进行了详细分析,且观察到了从周期到混沌、超混沌的演化.系统超混沌的存在性通过Lyapunov指数谱得到了验证.还设计了一个模拟电子电路,从电路实验中观察到了各种超混沌吸引子.
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