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  • Dynamics on networks of cluster states for globally coupled phase oscillators 

    Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart (Society for Industrial and Applied Mathematics, 2007)
    Systems of globally coupled phase oscillators can have robust attractors that are heteroclinic networks. We investigate such a heteroclinic network between partially synchronized states where the phases cluster into three ...
  • Spatiotemporal coding of inputs for a system of globally coupled phase oscillators 

    Wordsworth, John; Ashwin, Peter (American Physical Society, 2008)
    We investigate the spatiotemporal coding of low amplitude inputs to a simple system of globally coupled phase oscillators with coupling function g(ϕ)=−sin(ϕ+α)+rsin(2ϕ+β) that has robust heteroclinic cycles (slow switching ...