Distributed delays facilitate amplitude death of coupled oscillators.
Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and merge death islands in the parameter space. Furthermore, when the variance of the distribution is larger than a threshold, the death region becomes unbounded and amplitude death can occur for any average value of delay. These phenomena are observed even with a small spread of delays, for different distribution functions, and an arbitrary number of oscillators.
Atay
Fatihcan M
FM
Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany. atay@member.ams.org
D001145:Arrhythmias, Cardiac; D001683:Biological Clocks; D008568:Memory; D008954:Models, Biological; D008959:Models, Neurological; D010507:Periodicity