Desynchronization induced by time-varying network

Lucas, Maxime and Fanelli, Duccio and Carletti, Timoteo and Petit, Julien (2018) Desynchronization induced by time-varying network. EPL, 121 (5). ISSN 0295-5075

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The synchronous dynamics of an array of excitable oscillators, coupled via a generic graph, is studied. Non-homogeneous perturbations can grow and destroy synchrony, via a self-consistent instability which is solely instigated by the intrinsic network dynamics. By acting on the characteristic time-scale of the network modulation, one can make the examined system to behave as its (partially) averaged analogue. This result is formally obtained by proving an extended version of the averaging theorem, which allows for partial averages to be carried out. As a byproduct of the analysis, oscillation death is reported to follow the onset of the network-driven instability.

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This is an author-created, un-copyedited version of an article accepted for publication/published in EPL. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1209/0295-5075/121/50008
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13 Dec 2018 13:52
Last Modified:
22 Nov 2022 06:50