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- 2015
一个新四维光滑四翼超混沌系统及电路实现
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Abstract:
摘要： 利用非线性状态反馈控制法,提出了一个新的具有较大正Lyapunov指数的四维光滑自治超混沌系统。该系统具有大范围的四翼超混沌区域。讨论了系统平衡点的稳定性。通过Lyapunov指数、分岔图及Poincaré截面分析了系统的动力学行为,并用相图展示了四翼混沌吸引子和几种不同形状的四翼超混沌吸引子。随着参数的不同,该系统还可以历经拟周期和周期状态。最后给出了典型超混沌吸引子的电路实现。
Abstract: Using nonlinear state feedback control, a new four-dimensional smooth autonomous hyperchaotic system was constructed with large positive Lyapunov exponent. This system had larger four-wing hyperchaotic region. The stability of equilibria was discussed. The dynamic behaviors of this system were analysed through Lyapunov exponents, bifurcation diagrams and Poincaré sections. The four-wing chaotic attractor and hyperchaotic attractors were displayed by phase portraits. With various parameters, this system still underwent quasi-periodic orbits and periodic orbits. An electronic circuit is given to implement the typical hyperchaotic attractor
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