Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators
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Publication:515175
DOI10.3934/nhm.2017001zbMath1364.34078OpenAlexW2589338611MaRDI QIDQ515175
Seung-Yeal Ha, Zhuchun Li, Jae-Seung Lee
Publication date: 13 March 2017
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2017001
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)
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Cites Work
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- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- Complete synchronization of Kuramoto oscillators with finite inertia
- Complete synchronization of Kuramoto oscillators with hierarchical leadership
- Practical adaptive synchronization of a class of uncertain chaotic systems
- Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Human sleep and circadian rhythms: a simple model based on two coupled oscillators
- Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications
- On the complete synchronization of the Kuramoto phase model
- Formation of phase-locked states in a population of locally interacting Kuramoto oscillators
- Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
- The spectrum of the locked state for the Kuramoto model of coupled oscillators
- The spectrum of the partially locked state for the Kuramoto model
- Fast and slow relaxations to bi-cluster configurations for the ensemble of Kuramoto oscillators
- Synchronization and Transient Stability in Power Grids Based on Łojasiewicz Inequalities
- Emergence of bi-cluster flocking for agent-based models with unit speed constraint
- Synchronization in large directed networks of coupled phase oscillators
- On Exponential Synchronization of Kuramoto Oscillators
- On the Łojasiewicz exponent of Kuramoto model
- External periodic driving of large systems of globally coupled phase oscillators
- Low dimensional behavior of large systems of globally coupled oscillators
- Stability diagram for the forced Kuramoto model
- Remarks on the complete synchronization of Kuramoto oscillators
- Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators
- On the Critical Coupling for Kuramoto Oscillators