多稳态系统随机P-分岔现象电路实验研究

Circuit experimental research of stochastic P-bifurcation in multi-stable systems

随机动力学实验验证是非线性随机动力学研究的难点问题。本文基于van der Pol电路,重点讨论多稳态系统中的随机P-分岔现象,分别探究了噪声强度、阻尼系数变化对随机动力学响应的影响,定性验证了随机P-分岔结果,即噪声强度、阻尼系数变化都能导致幅值概率密度峰的数目变化。为进一步开展多稳态系统随机动力学实验研究奠定较好的基础。

Experimental verification of stochastic dynamics is usually difficult in the study of nonlinear stochastic dynamics.Based on the van der Pol circuit,the stochastic P-bifurcation phenomena of the multi-stable system are discussed.Influences of noise intensity and damping coefficient on stochastic dynamics response are studied, respectively.The results of stochastic P-bifurcation are verified qualitatively,that was,the change of noise intensity and damping coefficient could lead to the change of the number of amplitude probability density peaks.It may lay a good foundation for further experimental investigation of stochastic dynamics of multi-stable systems.