对一个新超混沌电路的研究

Study On a Novel Hyperchaotic Circuit

本文提出一个新的产生超混沌的电路。该电路非线性器件的选取不同于以往只局限于分段线性电阻的框框，而是采用分段线性负电容作为非线性元件。利用计算机模拟和电路实验方法深入分析了此电路复杂的非线性动力学性质，分别观察到了超混沌、亚超混沌、混沌、拟周期和周期荡现象，并且对其实验线路，测取一个状态变量的时间序列，利用吸引子重构技术，计算这一时间序列所对应的非负李雅普诺夫指数。

This paper proposes a novel circuit which generates hyperchaos.Choice for nonlinear elements in the circuit differs from that of the conventional circuit which considers only piece-wise linear resistors.It utilizes piece-wise linear negative capacitance as the nonlinear element.The complex nonlinear dynamical nature of this circuit is analyzed by computer simulation and circuit experiment and hyperchaos,sub-hyperchaos,chaos,quasiperiod and period oscillations have been found simultaneously.The non-negative Lyapunov exponents were directly calculated from the time series of state variables obtained in circuit experiment by initially using what we call the attractor reconstructing technique.