RIKEN BRAIN SCIENCE INSTITUTE (RIKEN BSI)

Events

[Forum] Dr. Christian Bick, University of Exeter

“ Phase Oscillators with Generalized Coupling: Collective Dynamics and their Control ”

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Date

October 05, 2015 10:30 - 11:30

Location

BSI Central Building 3F Seminar Room

Abstract

The dynamics of networks of phase oscillators may exhibit spatially localized features: chimera states are solutions with localized synchrony and incoherence. These dynamical localized structures have been associated with bump states in neural field models. In contrast to the classical Kuramoto equations, where the interaction between oscillators is determined by the sine of the phase differences, we study the effect of more general coupling on the network dynamics. First, we outline some recent mathematical results on the existence of weak chimera states in small networks of phase oscillators with generalized coupling. Then we discuss how generalized coupling is useful for applications. For example, mean field dependent coupling can be used to control the spatial position of chimera states.

More Detail

Language
English
Admission
Open to Public
Host
Taro Toyoizumi [Taro Toyoizumi, Neural Computation and Adaptation ]
Contact
Name: Reiko Kiyotaki
Email: