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Almost Global Synchronization of Symmetric Kuramoto Coupled Oscillators
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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The Geometry of Biological Time
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The behavior of rings of coupled oscillators
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Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
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International Symposium on Mathematical Problems in Theoretical Physics
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From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators
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A dual to Lyapunov's stability theorem
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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
inferredcites →https://doi.org/10.1088/0305-4470/37/46/004openalex-snapshot
Stability of phase locking in a ring of unidirectionally coupled oscillators
inferredcites →https://doi.org/10.1109/22.247926openalex-snapshot
Nonlinear analysis of phase relationships in quasi-optical oscillator arrays
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Coupled oscillator array generating circular polarization [active antenna]
inferredcites →https://doi.org/10.1109/cdc.2005.1582593openalex-snapshot
Distributed Geodesic Control Laws for Flocking of Nonholonomic Agents
inferredcites →https://doi.org/10.1109/cdc.2005.1582774openalex-snapshot
Global considerations on the Kuramoto model of sinusoidally coupled oscillators
inferredcites →https://doi.org/10.1109/cdc.2007.4434382openalex-snapshot
Gluing Kuramoto coupled oscillators networks
inferredcites →https://doi.org/10.1109/tac.2003.812781openalex-snapshot
Coordination of groups of mobile autonomous agents using nearest neighbor rules
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Formations of Vehicles in Cyclic Pursuit
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Cooperative Dynamics of Oscillator Community
inferredcites →https://doi.org/10.23919/acc.2004.1383983openalex-snapshot
On the stability of the Kuramoto model of coupled nonlinear oscillators
inferredcites →https://doi.org/10.3182/20071017-3-br-2923.00013openalex-snapshot
SINGLE INTERCONNECTION OF KURAMOTO COUPLED OSCILLATORS
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Stability of Discrete-Time Coupled Oscillators via Quotient Dynamics
inferred← citeshttps://doi.org/10.1007/s10955-021-02783-5openalex-snapshot
Partially Phase-Locked Solutions to the Kuramoto Model
inferred← citeshttps://doi.org/10.1007/s11063-021-10510-0openalex-snapshot
The Kuramoto Model: The Stability Conditions in the Presence of Phase Shift
inferred← citeshttps://doi.org/10.1016/j.automatica.2014.04.012openalex-snapshot
Synchronization in complex networks of phase oscillators: A survey
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113838openalex-snapshot
Certification of almost global phase synchronization of all-to-all coupled phase oscillators
inferred← citeshttps://doi.org/10.1016/j.physd.2025.134578openalex-snapshot
Exponential synchronization of high-dimensional Kuramoto models on the complex sphere based on directed graphs
inferred← citeshttps://doi.org/10.1016/j.physleta.2013.09.010openalex-snapshot
Synchronization of Kuramoto model in a high-dimensional linear space
inferred← citeshttps://doi.org/10.1016/j.physleta.2014.03.003openalex-snapshot
High-dimensional Kuramoto model limited on smooth curved surfaces
inferred← citeshttps://doi.org/10.1063/1.4907952openalex-snapshot
Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization
inferred← citeshttps://doi.org/10.1088/1361-6544/acfe55openalex-snapshot
The Kuramoto model on dynamic random graphs
inferred← citeshttps://doi.org/10.1088/1367-2630/14/7/073031openalex-snapshot
Guaranteeing global synchronization in networks with stochastic interactions
inferred← citeshttps://doi.org/10.1109/acc.2010.5530690openalex-snapshot
Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
inferred← citeshttps://doi.org/10.1109/acc.2011.5991303openalex-snapshot
On the critical coupling strength for Kuramoto oscillators
inferred← citeshttps://doi.org/10.1109/access.2018.2881142openalex-snapshot
Modeling and Synchronization Stability of Low-Voltage Active Distribution Networks With Large-Scale Distributed Generations
inferred← citeshttps://doi.org/10.1109/cca.2009.5280981openalex-snapshot
Global properties of Kuramoto bidirectionally coupled oscillators in a ring structure
inferred← citeshttps://doi.org/10.1109/cca.2016.7587973openalex-snapshot
Dominance of the 1-twisted equilibrium point for Kuramoto coupled oscillators with underlying Harary graphs
inferred← citeshttps://doi.org/10.1109/ccca.2012.6417870openalex-snapshot
On frequency synchronization of Kuramoto model with non-symmetric interconnection structure
inferred← citeshttps://doi.org/10.1109/cdc.2012.6425823openalex-snapshot
Exploring synchronization in complex oscillator networks
inferred← citeshttps://doi.org/10.1109/iciea.2010.5515313openalex-snapshot
The wheels: an infinite family of bi-connected planar synchronizing graphs
inferred← citeshttps://doi.org/10.1109/iecon.2019.8926938openalex-snapshot
Frequency Stability of Active Distribution Networks with Large-scale DESUs
inferred← citeshttps://doi.org/10.1137/10081530xopenalex-snapshot
On the Critical Coupling for Kuramoto Oscillators
inferred← citeshttps://doi.org/10.1142/s0218127413501344openalex-snapshot
SYNCHRONIZATION AND BASINS OF SYNCHRONIZED STATES IN TWO-DIMENSIONAL PIECEWISE MAPS VIA COUPLING THREE PIECES OF ONE-DIMENSIONAL MAPS
inferred← citeshttps://doi.org/10.20944/preprints202208.0422.v1openalex-snapshot
Certification of Almost Global Phase Synchronization of Coupled Oscillators
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Online Data-Driven Control of Networks
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Nonlinear Protocols on Ellipsoids for Multi-agent Systems
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Analytical Analysis of Power Network Stability: Necessary and Sufficient Conditions
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Synchronization analysis of complex networks of nonlinear oscillators
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