【摘要】 在蔡式电路的L臂上增加一个RLC并联回路构造了一个超混沌五阶自治电路,对其进行数学建模和系统的理论分析,并结合数值仿真详细研究了其混沌动力学性态。通过对其相空间吸引子、庞卡莱映射、Lyapunov指数谱的分析表明,电路在参数值改变时,呈现出超混沌态、混沌态和周期态的振荡形式。最后对该电路从Hopf分叉变化到超混沌吸引子过程中的信号频谱进行了计算机模拟,估计其频谱分布范围并给出了电路的频谱分布特征。更多还原

【Abstract】 A fifth-order autonomous hyperchaotic circuit is designed by adding a RLC parallel circuit into the L-arm in chua’s circuit. Its nonlinear dynamical nature is throughly studied by the way of mathematical model, theoretical analysis and simulation. The phase portrait, poincare mapping and Lyapunov exponent spectrum show that as the parameters are varied, the proposed circuit demonstrates periodic, chaotic and hyperchaotic oscillation. Based on numerical simulation for the spectrum of signals on the circuit from Hopf bifurcation to hyperchaotic attractor, we estimated its spectrum distribution and discussed its spectrum distributing character.更多还原