Emergent dynamics of Winfree oscillators on locally coupled networks

DOI10.1016/j.jde.2015.11.008zbMath1396.34020OpenAlexW2179049487MaRDI QIDQ2634264

Jinyeong Park, Seung-Yeal Ha, Sang Woo Ryoo, Dongnam Ko

Publication date: 8 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.008

zbMATH Keywords

synchronizationWinfree modelphase-locked statephase modeloscillator death

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Biological rhythms and synchronization (92B25)

Related Items (12)

Robustness and asymptotic stability for the Winfree model on a general network under the effect of time-delay ⋮ Uniform-in-time continuum limit of the lattice winfree model and emergent dynamics ⋮ Collective behaviors of stochastic agent-based models and applications to finance and optimization ⋮ Uniform-in-Time Continuum Limit of the Winfree Model on an Infinite Cylinder and Emergent Dynamics ⋮ Collective behaviors of a Winfree ensemble on an infinite cylinder ⋮ A global well-posedness and asymptotic dynamics of the kinetic Winfree equation ⋮ Interplay of random inputs and adaptive couplings in the Winfree model ⋮ Practical synchronization of Winfree oscillators in a random environment ⋮ On the emerging asymptotic patterns of the Winfree model with frustrations ⋮ Emergence of partial locking states from the ensemble of Winfree oscillators ⋮ Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics ⋮ Emergence of synchronization in Kuramoto model with general digraph

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