Distributed delays facilitate amplitude death of coupled oscillators
Fatihcan M. Atay
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Submission date: 11. Mar. 2003
published in: Physical review letters, 91 (2003) 9, art-no. 094101-1 - 094101-4
DOI number (of the published article): 10.1103/PhysRevLett.91.094101
MSC-Numbers: 34K20, 92B
PACS-Numbers: 05.45.+b, 05.45.Xt, 02.30.Ks, 87.10.+e
Keywords and phrases: time delay, stability, oscillator death
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Coupled oscillators are shown to experience amplitude death for a much larger set of parameters 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.