Status | Confirmed |
Seminar Series | SEM-LPTM-UCP |
Subjects | math-ph |
Date | Wednesday 22 November 2017 |
Time | 14:00 |
Institute | LPTM |
Seminar Room | 4.13 St Martin II |
Speaker's Last Name | Bi |
Speaker's First Name | Hongjie |
Speaker's Email Address | |
Speaker's Institution | LPTM UCP Cergy Pontoise |
Title | Collective behavior in frequency weighted coupled oscillators and in adaptively coupled oscillators. |
Abstract | We report on a novel collective state, occurring in globally coupled nonidentical oscillators in the proximity of the point where the transition from the systems incoherent to coherent phase converts from explosive to continuous. In such a state, the oscillators form quantized clusters, where neither their phases nor their instantaneous frequencies are locked. The oscillators instantaneous speeds are different within the clusters, but they form a characteristic cusped pattern and, more importantly, they behave periodically in time so that their average values are the same. Given its intrinsic specular nature with respect to the recently introduced Chimera states, the phase is termed the Bellerophon state. We provide an analytical and numerical description of Bellerophon states, and furnish practical hints on how to seek them in a variety of experimental and natural systems. |
arXiv Preprint Number | |
Comments | Séminaire déplacé au mercredi 22 novembre |
Attachments |
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