Distributed Delays Facilitate Amplitude Death of Coupled Oscillators

Details Distributed Delays Facilitate Amplitude Death of Coupled Oscillators Distributed Delays Facilitate Amplitude Death of Coupled Oscillators

2003-12-20

arxiv.org/abs/nlin/0312050v1

Physical Review Letters 91, 094101 (2003)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.91.094101

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.

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