title: Partial time-delay coupling enlarges death island of coupled oscillators.
abstract: 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.
authors.affiliation: Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Zou
authors.forename: Meng
authors.initials: M
authors.lastname: Zhan
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D004581:Electronics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D013997:Time Factors