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Contraction of monotone phase-coupled oscillators

Publication Date
  • Contraction
  • Monotone Systems
  • Phase Models
  • Synchronization
  • A-Monotone
  • Asymptotic Behaviors
  • Asymptotic Convergence
  • Coupling Functions
  • Phase Model
  • Phase-Coupled Oscillators
  • Total Variation
  • Control
  • Electrical Engineering
  • Shrinkage
  • Oscillators (Mechanical)
  • Physical
  • Chemical
  • Mathematical & Earth Sciences :: Mathematics [G03]
  • Physique
  • Chimie
  • Mathématiques & Sciences De La Terre :: Mathématiques [G03]
  • Engineering
  • Computing & Technology :: Multidisciplinary
  • General & Others [C99]
  • Ingénierie
  • Informatique & Technologie :: Multidisciplinaire
  • Généralités & Autres [C99]


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. © 2012 Elsevier B.V. All rights reserved.

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