三角形鉴相特性锁相鉴频器中混沌现象的研究
Research on Chaotic Phenomena of Phase-locked Frequency Detector with Triangular Phase-Detector
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摘要: 研究了具有三角形鉴相特性的锁相鉴频器中的混沌现象。利用Mel'nikov方法,从理论上证明了当系统参数满足一定条件时,Melnikov积分M(to)有简单零点,这时系统有homoclinic混沌解,也即锁相鉴频系统有混沌输出,同时给出了混沌产生的区域。Abstract: Chaotic phenomena of phase-locked frequency detector with trianglar phase detector characteristics is studied. By using Melnikov's method, it is theoretically proved that Melnikov integral has simple zero, and the system has homoclinic chaotic solution, and the system output chaos when the system parameters satisfy certain conditions. The chaos region is gived also.