Emergence of partial locking states from the ensemble of Winfree oscillators

DOI10.1090/qam/1448zbMath1404.34040OpenAlexW2513679536MaRDI QIDQ2833055

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

Publication date: 16 November 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1448

zbMATH Keywords

synchronizationKuramoto modelWinfree modelpartial locking states

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Systems biology, networks (92C42)

Related Items (10)

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 ⋮ Emerging asymptotic patterns in a Winfree ensemble with higher-order couplings ⋮ 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 ⋮ 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 ⋮ Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics

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