Amplitude and phase dynamics in oscillators with distributed-delay coupling

Kyrychko, Y N, Blyuss, K B and Schöll, E (2013) Amplitude and phase dynamics in oscillators with distributed-delay coupling. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 371 (1999). p. 20120466. ISSN 1364-503X

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Yuliya Kyrychko
Date Deposited: 20 Sep 2013 13:33
Last Modified: 07 Mar 2017 11:22
URI: http://sro.sussex.ac.uk/id/eprint/46426

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