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Amplitude and phase dynamics in oscillators with distributed-delay coupling

journal contribution
posted on 2023-06-08, 15:53 authored by Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss, E Schöll
This paper studies the effects of distributed-delay coupling on the dynamics in a system of non-identical coupled Stuart–Landau oscillators. For uniform and gamma delay distribution kernels, the conditions for amplitude death are obtained in terms of average frequency, frequency detuning and the parameters of the coupling, including coupling strength and phase, as well as the mean time delay and the width of the delay distribution. To gain further insights into the dynamics inside amplitude death regions, the eigenvalues of the corresponding characteristic equations are computed numerically. Oscillatory dynamics of the system is also investigated, using amplitude and phase representation. Various branches of phase-locked solutions are identified, and their stability is analysed for different types of delay distributions.

History

Publication status

  • Published

File Version

  • Published version

Journal

Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

ISSN

1364-503X

Publisher

Royal Society, The

Issue

1999

Volume

371

Page range

20120466

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-20

First Compliant Deposit (FCD) Date

2013-09-20

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