摘要
奇异态是一种包含同步振子区域和非同步振子区域的时空动力学行为,因其对初始条件的敏感性和“存活时间”较短而难以被捕捉到.在本文中,采用随机的初始条件,合适的耦合范围和相移参数,在非局域相位耦合振子系统中发现了缓慢移动的4团簇奇异态.并且同步团簇的移动速度随着系统尺寸的增加呈指数减小的趋势,最后达到稳定的4团簇奇异态.最后,使用Ott-Antonsen分析方法,再现了移动4团簇奇异态的时空动力学行为.
Chimera states,coexistence of spatially separated coherent and incoherent motion,exhibit short life time or initial condition dependent characteristics in non-locally coupled identical coupled oscillators,which makes it difficult to observe.Here we found a kind of slowly traveling four-cluster chimera state in non-locally coupled oscillators with proper parameters of coupling range and initial phase lag.The speed of the traveling four-cluster chimera state exponentially decreases to the increment of system size which lead to almost stable four-cluster chimera state for large system size.The analytical results based on the Ott-Antonsen method verified the numerical results well.Moreover,a kinds of splay state is observed as the Chimera state lose its stability.
作者
朱云
黄竞雄
谢琛
刘维清
Zhu Yun;Huang Jingxiong;Xie Chen;Liu Weiqing(School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2019年第6期45-50,共6页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(11405075)
关键词
奇异态
非局域
同步
耦合振子
非线性动力学
Chimera state
non-local
synchronization
coupled oscillator
nonlinear dynamics
