Contraction of monotone phase-coupled oscillators
classification
🧮 math.DS
keywords
contractionasymptoticmonotoneoscillatorsphase-coupledpropertybehaviorcharacterized
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This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.
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