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

journal contribution
posted on 2023-06-09, 08:16 authored by Bootan Rahman, Konstantin BlyussKonstantin Blyuss, Yuliya KyrychkoYuliya Kyrychko
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review E

ISSN

2470-0045

Publisher

American Physical Society

Issue

3

Volume

96

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Mathematics Applied to Biology Research Group Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2017-10-12

First Open Access (FOA) Date

2017-10-12

First Compliant Deposit (FCD) Date

2017-10-12

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