School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China.
Department of Physics, Jinan University, Guangzhou, Guangdong 510632, China.
Chaos. 2020 Oct;30(10):103101. doi: 10.1063/5.0022065.
Recent research has revealed that a system of coupled units with a certain degree of parameter diversity can generate an enhanced response to a subthreshold signal compared to that without diversity, exhibiting a diversity-induced resonance. We here show that diversity-induced resonance can also respond to a suprathreshold signal in a system of globally coupled bistable oscillators or excitable neurons, when the signal amplitude is in an optimal range close to the threshold amplitude. We find that such diversity-induced resonance for optimally suprathreshold signals is sensitive to the signal period for the system of coupled excitable neurons, but not for the coupled bistable oscillators. Moreover, we show that the resonance phenomenon is robust to the system size. Furthermore, we find that intermediate degrees of parameter diversity and coupling strength jointly modulate either the waveform or the period of collective activity of the system, giving rise to the resonance for optimally suprathreshold signals. Finally, with low-dimensional reduced models, we explain the underlying mechanism of the observed resonance. Our results extend the scope of the diversity-induced resonance effect.
最近的研究表明，与没有多样性的系统相比，具有一定程度参数多样性的耦合单元系统可以对亚阈值信号产生增强的响应，表现出多样性诱导的共振。我们在这里表明，当信号幅度处于接近阈值幅度的最佳范围时，多样性诱导的共振也可以在全局耦合双稳振荡器或兴奋神经元系统中对超阈值信号做出响应。我们发现，对于最佳超阈值信号，这种多样性诱导的共振对耦合兴奋神经元系统的信号周期敏感，但对耦合双稳振荡器系统则不敏感。此外，我们还表明，共振现象对系统大小具有鲁棒性。此外，我们发现，参数多样性和耦合强度的中等程度共同调节系统集体活动的波形或周期，从而产生最佳超阈值信号的共振。最后，通过低维简化模型，我们解释了观察到的共振的潜在机制。我们的研究结果扩展了多样性诱导共振效应的范围。
