Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
arXiv:nlin/0312050 · doi:10.1103/PhysRevLett.91.094101
Abstract
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.
4 pages, 5 figures