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arXiv · 1312.0033

Amplitude death in oscillator networks with variable-delay coupling

Aleksandar Gjurchinovski·Anna Zakharova·Eckehard Schöll
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Abstract

We study the conditions of amplitude death in a network of delay-coupled limit cycle oscillators by including time-varying delay in the coupling and self-feedback. By generalizing the master stability function formalism to include variable-delay connections with high-frequency delay modulations (i.e., the distributed-delay limit), we analyze the regimes of amplitude death in a ring network of Stuart-Landau oscillators and demonstrate the superiority of the proposed method with respect to the constant delay case. The possibility of stabilizing the steady state is restricted by the odd-number property of the local node dynamics independently of the network topology and the coupling parameters.

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Aleksandar Gjurchinovski, Anna Zakharova, Eckehard Schöll. 2013-11-29. Amplitude death in oscillator networks with variable-delay coupling. https://doi.org/10.1103/physreve.89.032915

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