外加激励下范德坡电路非线性与混沌现象的实验研究

Experimental Research on Nonlinear and Chaos Phenomenon of the Van Der Pol Circuit under Additional Excitation

提出了一种范德坡电路中非线性电阻的实现模型,测量了其伏安特性,并利用Matlab软件拟合了非线性电阻的伏安特性曲线.研究了范德坡电路在外加激励下的非线性动力学行为,观察到了一系列的周期分岔与混沌现象,并对观察到的现象进行了讨论,实验结果表明范德坡电路在一定条件下可以产生混沌现象.

This paper puts forward an implementation model for a nonlinear resistance in the Van Der Pol circuit, measures its voltampere characteristic, and fits the characteristic curve through Madab software. In addition, it studies the nonlinear dynamic behaviors of the Van Der Pol circuit under additional excitation, observes and discusses a series of the phenomena of period bifurcation and chaos. The results show that Van Der Pol circuit can produce the chaos under certain conditions.