一个新的五阶超混沌电路及其研究

提出一个新的五阶超混沌电路. 该电路由三个线性电感、两个线性电容、一个线性负电阻和二个非线性元件组成，并具有π形的电路结构. 其主要特征是，利用非线性元件的作用来切换电路中的时间常数，使其电压和电流发生急剧变化. 利用负电阻可满足电路局部发散的条件，并且这种电压和电流的急剧变化以及局部发散是该电路产生混沌与超混沌的两个前提条件. 分岔和李雅普诺夫指数计算结果表明，随着分岔参数的改变，电路的振荡机理由周期态演变为混沌态，再由混沌态演变为超混沌态. 设计了五阶超混沌电路，给出了硬件实验结果. 关键词： 超混沌电路 超混沌吸引子 电路实验

A novel fifth-order hyperchaotic circuit and its research

A novel fifth-order hyperchaotic circuit is proposed. This circuit is composed by three linear inductors, two linear capacitors, one negative resistor, and two nonlinear elements, and has the π type circuit configuration. By switching the time constant of the circuit by the action of nonlinear element, the voltage and current is rapidly changed, and by using negative resistors, the condition for local divergence in the circuit is satisfied. The rapid change of voltage and current and local divergence are two primary conditions for generating chaos and hyperchaos in the circuit. Bifurcation and Lyapnuov exponent calculations demonstrate that the oscillation mechanism of the circuit evolves into chaos and hyperchaos from periodic with the change of bifurcation parameters. Furthermore, the fifth-order hyperchaotic circuit has been designed and the result of hardware experiment is reported.