Globally Coupled Oscillator Networks

Eric Brown, Philip Holmes and Jeff Moehlis

Chapter 5 in Perspectives and Problems in Nolinear Science, 2003, pp 183-215 from Springer

Abstract: Abstract We study a class of permutation-symmetric globally-coupled, phase oscillator networks on N-dimensional tori. We focus on the effects of symmetry and of the forms of the coupling functions, derived from underlying Hodgkin-Huxley type neuron models, on the existence, stability, and degeneracy of phase-locked solutions in which subgroups of oscillators share common phases. We also estimate domains of attraction for the completely synchronized state. Implications for stochastically forced networks and ones with random natural frequencies are discussed and illustrated numerically. We indicate an application to modeling the brain structure locus coeruleus: an organ involved in cognitive control.

Keywords: Periodic Orbit; Firing Rate; Locus Coeruleus; Josephson Junction; Coupling Function (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-21789-5_5

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DOI: 10.1007/978-0-387-21789-5_5

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