Rights statement: 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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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Desynchronization induced by time-varying network
AU - Lucas, Maxime
AU - Fanelli, Duccio
AU - Carletti, Timoteo
AU - Petit, Julien
N1 - 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
PY - 2018/5/10
Y1 - 2018/5/10
N2 - 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.
AB - 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.
U2 - 10.1209/0295-5075/121/50008
DO - 10.1209/0295-5075/121/50008
M3 - Journal article
VL - 121
JO - EPL
JF - EPL
SN - 0295-5075
IS - 5
M1 - 50008
ER -