Emergence of partial locking states from the ensemble of Winfree oscillators
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Publication:2833055
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
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Systems biology, networks (92C42)
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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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