Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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 system’s 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
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