Entrainment of randomly coupled oscillator networks by a pacemaker.
Entrainment by a pacemaker, representing an element with a higher frequency, is numerically investigated for several classes of random networks which consist of identical phase oscillators. We find that the entrainment frequency window of a network decreases exponentially with its depth, defined as the mean forward distance of the elements from the pacemaker. Effectively, only shallow networks can thus exhibit frequency locking to the pacemaker. The exponential dependence is also derived analytically as an approximation for large random asymmetric networks.
Kori
Hiroshi
H
Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan. kori@fhi-berlin.mpg.de
Mikhailov
Alexander S
AS
D000222:Adaptation, Physiological / Q000502:physiology; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology; D006329:Heart Conduction System / Q000502:physiology; D006801:Humans; D008955:Models, Cardiovascular; D008959:Models, Neurological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009473:Neuronal Plasticity / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology*