Spatially structured networks of pulse-coupled phase oscillators on metric spaces

DOI10.3934/dcds.2014.34.3703zbMath1312.34077OpenAlexW1989766417WikidataQ59941647 ScholiaQ59941647MaRDI QIDQ476718

Stilianos Louca, Fatihcan M. Atay

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3703

zbMATH Keywords

synchronystabilitycoupled oscillatorsWinfree modelexistence-uniqueness of solutionsphase response

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Emergent dynamics of Winfree oscillators on locally coupled networks ⋮ Robustness and asymptotic stability for the Winfree model on a general network under the effect of time-delay ⋮ A kind of structural frequency locking in generalized spatial automata ⋮ A global well-posedness and asymptotic dynamics of the kinetic Winfree equation ⋮ Interplay of random inputs and adaptive couplings in the Winfree model ⋮ Emergence of partial locking states from the ensemble of Winfree oscillators

Cites Work

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• Stability of synchronized oscillations in networks of phase-oscillators
• Chemical oscillations, waves, and turbulence
• The dynamics of chimera states in heterogeneous Kuramoto networks
• Stability of operators and operator semigroups
• Synchronization of globally coupled phase oscillators: singularities and scaling for general couplings
• Real analysis: measures, integrals and applications
• The stability of solutions of linear differential equations
• Continuum Physics
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times
• A field theory of neural nets: I: Derivation of field equations
• Measure Theory and Probability Theory
• The geometry of biological time.
• Synchrony, stability, and firing patterns in pulse-coupled oscillators

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