规则网络中流耦合作用对爆发式同步的影响

耦合振子系统的爆发式同步是许多生物系统自组织动力学行为的内在机制之一,因而倍受关注.考虑到现实生活中许多振子之间的相互作用是非对称性的,通过理论分析和数值计算方法,详细研究了规则网络中,流耦合作用对耦合相振子系统爆发式同步动力学行为的影响.结果表明,非对称的流耦合作用,在具有特定频率空间分布的耦合相振子系统中,有利于促进耦合相振子系统产生爆发式同步.耦合系统达到爆发式同步所需的临界耦合强度与流耦合强度成线性关系.此外,在同步区间可观察到集中锁相和分散锁相两种同步形式共存.通过理论分析,给出了流耦合作用对促进耦合相振子系统爆发式同步的内在机制.研究结果可以为更好地理解非对称耦合作用下耦合相振子系统的自组织现象提供理论支持.

Effects of gradient coupling on the explosive synchronization in regular network

The explosive synchronization of coupled oscillator systems,as one of the intrinsic mechanisms of self-organized kinetic behavior of many biological systems,has attracted much attention.Considering that the interaction between many vibrators in real life is asymmetric,we study in detail the effect of gradient coupling on explosive synchronization of coupled oscillator systems in a regular network by the theoretical analysis and numerical methods.The results show that the asymmetric gradient coupling in the coupled oscillator system with a specific frequency spatial distribution facilitates the generation of explosive synchronization in the coupled oscillator system.The critical coupling strength required for the coupled system to achieve explosive synchronization is linearly related to the gradient coupling strength.In addition,it can be observed two coexisting forms in the synchronization interval:one is centralized phase locking,the other is anti-phase locking.Through the theoretical analysis,the inherent mechanism of the gradient coupling is helpful to promote the explosive synchronization of the coupled oscillator system.The results of the study can provide theoretical support for a better understanding of the self-organized phenomena in the coupled oscillator system under asymmetric coupling.