应用Melnikov方法分析非线性电路中分岔与混沌的阈值

Analytically Determined the Threshold of Bifurcation and Chaos in a Nonlinear RLC System by Melnikov's method

应用Melnikov方法,对非线性电路微分系统进行解析分析,根据横截同宿点存在原理,求出Smale马蹄意义下的混沌的阈值;给出系统出现周期为mT的次谐波解的条件.所得结果同实验符合得很好.

Appliying Melnikov's method we analytically analysise the nonlinear circuit differential system. Following the principle of the existence of the transverse homoclinic pointws. We get the theshold of chaos under the meaning provided by Smale horseshoe, and the condition under which the system arises solutions of subharmonic orbits whose periods are mT. The theoretical results are in good agreement with that from experiments.