三阶非自治电路中的混沌振荡

Chaotic Oscillstions in a Third Order Nonlinear Nonautonomous Circuit

本文研究在正弦电源激励下的三阶电路中的非线性动力性质。在该电路中，唯一的非线性元件是分段线性的负电阻元件。计算机模拟和电路实验表明，该电路在电源电压的有效值改变时，振荡制式会有如下之演变：周期—拟周期—混沌—亚起混沌—混沌—周期。此处所谓的亚超混沌振荡，是指相空间轨线的吸引子具有（＋，０，０，－）类型的李雅普诺夫指数谱的振荡制式而言的。这种亚超混沌振荡制式在现有的非线性电路与系统的文献中尚不曾有过报道。本文的计算机模拟结果与电路实验结果之间有较好的吻合。

The nonlinear dynamics and chaos in a third order nonlinear nonautonomous circuit is studied in this paper. The only nolinear element in the circuit is a three-segment piecewise resistor.The computer simulation and circuit experiment show that as the RMS voltage of the sinuslidal electrical source is varied, the oscillation regime in the circuit will evolve as follows: periodic-quasi-periodicchaotic-quasi-hyperchaotic .The so called quasi- hyperchaos is defined as a chaos corresponding to a strange attractor with the Lyapunov exponent spectrum of the type(+,0,0, - ) .So for as we know,thes quasi - hyperchaotic oscillation has not been reported yet in the existedliteratures on circuits and systems.The computer simulation results agree well with the circuit experiment data.