Partial time-delay coupling enlarges death island of coupled oscillators.
Coupling (or connection) in complex systems is of crucial importance in determining the system's dynamics and realizing certain system's functions. In this work, we propose a coupling form, partial time-delay coupling in coupled oscillator systems, in which some oscillators are time-delay coupled and the others remain instantaneously coupled, and study its impact on dynamics. We find that the partial time-delay coupling greatly enlarges the domain of oscillation death island in parameter space. In particular, the smaller the ratio p of time-delay coupled oscillators, the larger death island is. For a sufficiently large system, a universal amplification scaling, R=p(-1)(0<p<or=1) , is uncovered. These findings are proved to be very general and suggest that a tiny amount of time-delay couplings in coupled systems may tremendously change the dynamics of whole systems.
Zou
Wei
W
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.
Zhan
Meng
M
D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D004581:Electronics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D013997:Time Factors