Rossler耦合混沌系统中的倍频现象

he rotation and in-phase oscillation states in the multi-rhythm pattern have been extensively studied in the coupled period and chaotic system. In addition, many scholars have observed the phenomenon of double periodic oscillation in the coupled period and chaotic system experimentally. Taking Rossler oscillator as an example, this paper explores the influence of frequency mismatch parameters and coupling strength on the coupled chaotic system under the condition of chained coupling of three oscillators and star network coupling of N+1 oscillators. It is observed by numerical simulation that when the frequency mismatch is large, the oscillation frequency of the central oscillator is N times that of the edge oscillator in the range of periodic states, and theedge N oscillators are uniformly distributed on 2π. However, when the frequency mismatch is small, the time-series envelopment double-frequency phenomenon is observed, in which the phase of the edge oscillator is close, but the envelope is antiphase, and the envelope of the central oscillator is N times the envelope of the edge oscillator. The results are of practical significance for the origin in disordered chaotic system and locomotion control .?????