时变耦合作用下一类离散Winfree模型的同步性分析  

Synchronization Analysis of a Class of Discrete Winfree Models with Time-Varying Coupling

作　　者：周一公 葛斌 高珊珊 ZHOU Yigong;GE Bin;GAO Shanshan(College of Mathematical Sciences,Harbin Engineering University,Harbin 150001)

机构地区：[1]哈尔滨工程大学数学科学学院,哈尔滨150001

出　　处：《系统科学与数学》2022年第7期1660-1684,共25页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11201095);中央高校基本科研业务费(3072022TS2402)资助课题。

摘　　要：文章研究了一类耦合强度随时间呈周期性变化的Winfree模型.在适当的假设条件下,证明了振子的最大相位差是随耦合强度系数K的变化周期为时间间隔在不断减小,进而给出了该系统在一定条件下发生相位同步行为的充分条件.最后,给出了两组具体的振子耦合作用方式,并通过数值仿真实验验证了理论结果的正确性.In this paper,we study a kind of Winfree model in which the coupling strength changes periodically with time.Under suitable assumptions,we prove that the maximum phase difference of the oscillator decreases with the change period of the coupling strength coefficient K.Furthermore,we give the sufficient condition to guarantee phase synchronization in Discrete Winfree model.Finally,we start to give two coupling modes of the oscillator,and the correctness of the theoretical analysis was verified by numerical experiments.

关 键 词：同步行为 Winfree模型 相位 频率 

分 类 号：O175[理学—数学]