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采用数值模拟的方法,研究了不同耦合方式下Genesio体系中振子的动力学行为,分别讨论了当体系处于周期-1振荡态时,单个振子、双边耦合和单边耦合情况下体系对噪声及耦合的响应情况。发现噪声强度、耦合方式及耦合强度都会对体系的内信号传递产生不同的影响。在合适的噪声水平和耦合强度及方式下,体系内信号能够被传递和放大,产生内信号随机共振现象。同时发现双边耦合比单边耦合更有利于信号的传递。本文的模拟结果将对内信号随机共振现象的试验研究有一定的意义。
The dynamical behaviors of the oscillator in Genesio system under different coupling modes are studied by numerical simulation. The influences of the system on the noise and coupling of single oscillator, bilateral coupling and unilateral coupling are discussed respectively when the system is in the period-1 oscillation state. The response. It is found that noise intensity, coupling mode and coupling strength all have different effects on the internal signal transmission of the system. Under appropriate noise level and coupling strength, the signals in the system can be transmitted and amplified, resulting in the phenomenon of internal signal stochastic resonance. It is also found that bilateral coupling is more conducive to signal transmission than unilateral coupling. The simulation results in this paper will be of certain significance for the experimental study of stochastic resonance of internal signals.