CAJ | 학술논문

研究了加性噪声和乘性噪声共同驱动的双稳态系统中的随机共振和相干共振现象.针对加性噪声和乘性噪声之间不存在关联性和存在关联性两种情形,引入一种适当的能同时表征随机共振和相干共振的指标,应用一阶欧拉方法,通过数值模拟对系统的随机共振和相干共振现象进行研究.结果表明在弱噪声驱动下,随着加性噪声强度的增加,当系统出现相干共振时,如果给系统外加一个弱周期驱动力,几乎在同一时刻,系统也出现了随机共振现象;但随着乘性噪声强度的增加,仅当加性噪声和乘性噪声之间相关时,此结论成立.并且系统参数对相干共振和随机共振的影响是一致的.
연구료가성조성화승성조성공동구동적쌍은태계통중적수궤공진화상간공진현상.침대가성조성화승성조성지간불존재관련성화존재관련성량충정형,인입일충괄당적능동시표정수궤공진화상간공진적지표,응용일계구랍방법,통과수치모의대계통적수궤공진화상간공진현상진행연구.결과표명재약조성구동하,수착가성조성강도적증가,당계통출현상간공진시,여과급계통외가일개약주기구동력,궤호재동일시각,계통야출현료수궤공진현상;단수착승성조성강도적증가,부당가성조성화승성조성지간상관시,차결론성립.병차계통삼수대상간공진화수궤공진적영향시일치적.
The phenomenon of stochastic resonance (SR) and coherence resonance (CR) in a bi-stable system driven by additive and mul-tiplicative noises has been investigated. For the case that the system has uncorrelated or correlated additive and multiplicative noises, we introduce an appropriate index that can characterize both SR and CR at the same time. Applying the first-order Euler numerical computation to study the SR and CR, We can show that for small noise density, with the increase of additive noise density, and the appearance of CR, if we add a small periodic force to the bi-stable system, SR will occur almost at the same time. However, with increasing multiplicative noise density, the above conclusion may be satisfied only for correlated additive and multiplicative noises. Moreover, the effects of other parameters on CR and SR can be shown to be the same.