含变容二极管电路系统的Melnikov混沌及其控制

以一个含变容二极管的电路系统为研究对象,分析并推导出该电路系统所满足的非线性方程。并运用直接微扰法求得该方程的微扰解,且由Melnikov混沌判据得知该微扰解是一混沌解,表明该非线性电路系统具有混沌特征。理论解析结果表明,通过调节系统参数或初始边界条件可以对系统的混沌加以控制。相应的数值仿真结果表明,所提方法确实有效可行,验证了理论解析结论。

Melnikov Chaos and Its Control in a Varactor Diode Circuit System

The nonlinear equation of the electric power system can be deduced from an analysis of the experimental results of a research conducted on a certain varactor diode circuit system. The perturbation solution of the equations can be worked out by using the direct perturbation method. According to Melnikov chaos criteria, the perturbation solution thus obtained proves to be a chaotic solution, which shows the chaotic characteristics of the nonlinear circuit system. Theoretical analysis results show that an effective control over the chaotic behaviors in the system can be realized by adjusting the system parameters or initial boundary conditions. The corresponding numerical simulation results show that the proposed method is effective and feasible, thus verifying the results of the theoretical analysis.