Control of delay-induced oscillation death by coupling phase in coupled oscillators.
A coupling phase is deemed to be crucial in stabilizing behavior in nonlinear systems. In this paper, we study how the coupling phase influences the delay-induced oscillation death (OD) in coupled oscillators. The OD boundaries are identified analytically even in the presence of the coupling phase. We find that OD only occurs for a coupling phase belonging to a certain interval. The optimal coupling phase, under which the largest OD island forms, is characterized well by a power law scaling with respect to the frequency. The coupling phase turns out to be a key parameter that determines a delay-induced OD. Furthermore, the controlling role of the coupling phase generally is proved to hold fairly for networked delay-coupled oscillators.
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China. zouwei2010@mail.hust.edu.cn
Wei
W
Zou
Jianquan
J
Lu
Yang
Y
Tang
Chengjian
C
Zhang
Jürgen
J
Kurths