Liang Xiaoming, Liu Cong, Zhang Xiyun
School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China.
Department of Physics, Jinan University, Guangzhou, Guangdong 510632, China.
Phys Rev E. 2020 Feb;101(2-1):022205. doi: 10.1103/PhysRevE.101.022205.
We investigate a system of globally coupled bistable oscillators subjected to a common weak signal, where the couplings are oscillator dependent with random signs: positive or negative. We find that neither purely positive nor purely negative couplings are optimal for signal amplification of the system; a mixture of both positive and negative couplings is more beneficial for the signal amplification. Our numerical results further show that different from the fully synchronous state caused by purely positive couplings or asynchronous state caused by purely negative couplings, the mixed positive and negative couplings can generate a clustering synchronous state, which allows the system to generate a resonancelike response to the weak signal, and thus, amplifies the signal. We finally propose a reduced model to analyze the mechanism underlying this resonancelike behavior, and find a complementary effect of these two types of couplings in signal amplification.
我们研究了一个受共同弱信号作用的全局耦合双稳振荡器系统，其中耦合依赖于振荡器且具有随机符号：正或负。我们发现，对于系统的信号放大而言，纯正耦合或纯负耦合都不是最优的；正负耦合的混合对信号放大更有益。我们的数值结果进一步表明，不同于纯正耦合导致的完全同步状态或纯负耦合导致的异步状态，正负耦合混合可以产生聚类同步状态，这使得系统能够对弱信号产生类似共振的响应，从而放大信号。我们最终提出了一个简化模型来分析这种类似共振行为背后的机制，并发现这两种类型的耦合在信号放大中具有互补作用。
