单向耦合布鲁塞尔体系相干共振信号的放大与维持

本文采用数值模拟的方法研究了参数不均匀性，耦合和噪音的协作效应对单向耦合布鲁塞尔体系相干共振的影响作用，其中噪音仅加于无耦合的控制体系。研究结果发现：具有相同控制参数的耦合体系，在耦合和噪音协作效应的影响下，存在最佳的耦合强度使控制体系的相干共振在受控制体系中得到增强。对于不同控制参数的耦合体系，参数不均匀性，耦合和噪音的协作效应对控制体系相干共振的增强或维持起决定性的作用。另外，当耦合强度和噪音达到临界值时，参数不均匀性的作用消失，此时控制体系和受控制体系之间出现了动力学行为的同步现象，此时意味着体系中的相干共振信号不能进一步得到改变，整个耦合体系的动力学行为对于噪音和耦合具有鲁棒性。

The amplification and sustainment of coherence resonance in unidirectional coupled brusselator system

The cooperative effects of parameter heterogeneity, coupling and noise on coherence resonance ( CR ) have been studied by numerical simulation method in unidirectional coupled brusselator system, which is subject to external noise at the master subsystem. It is found that, for the case of identical parameter between the master and slave subsystems, CR can be efficiently amplified in the slave subsystem at the optimal coupling level. For the case of parameter heterogeneity, the cooperative effects of parameter heterogeneity, coupling and noise play a key role for amplification and sustainment of CR. Above thresholds of coupling strength and noise intensity, the effect of parameter heterogeneity can be destroyed, and synchronization can occur between the master and the slave subsystems.