Aging transition in systems of oscillators with global distributed-delay coupling

Rahman, Bootan, Blyuss, Konstantin and Kyrychko, Yuliya (2017) Aging transition in systems of oscillators with global distributed-delay coupling. Physical Review E, 96 (3). ISSN 2470-0045

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Abstract

We consider a globally coupled network of active (oscillatory) and inactive (nonoscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associated with suppression of oscillations, are derived for uniform and gamma delay distributions in terms of coupling parameters and the proportion of inactive oscillators. The results suggest that for the uniform distribution increasing the width of distribution for the same mean delay allows aging transition to happen for a smaller coupling strength and a smaller proportion of inactive elements. For gamma distribution with sufficiently large mean time delay, it may be possible to achieve aging transition for an arbitrary proportion of inactive oscillators, as long as the coupling strength lies in a certain range.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 12 Oct 2017 14:55
Last Modified: 16 Oct 2017 16:03
URI: http://sro.sussex.ac.uk/id/eprint/70504

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