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  • Title: Partial time-delay coupling enlarges death island of coupled oscillators.
    Author: Zou W, Zhan M.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2009 Dec; 80(6 Pt 2):065204. PubMed ID: 20365221.
    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.
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