Synchronisation conditions in the Kuramoto model and their relationship to seminorms
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Publication:5000115
DOI10.1088/1361-6544/abf9edzbMath1480.34067arXiv2007.04343OpenAlexW3180630058MaRDI QIDQ5000115
Lee DeVille, Jared C. Bronski, Thomas E. Carty
Publication date: 6 July 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04343
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Functional limit theorems; invariance principles (60F17) Synchronization of solutions to ordinary differential equations (34D06)
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Cites Work
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- Synchronization in complex networks of phase oscillators: a survey
- The Kuramoto model in complex networks
- A mathematical model for the dynamics and synchronization of cows
- Chemical oscillations, waves, and turbulence
- Synchronization in a pool of mutually coupled oscillators with random frequencies
- Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies
- Collective synchronization of pulse-coupled oscillators and excitable units
- Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
- Synchronization of globally coupled phase oscillators: singularities and scaling for general couplings
- Amplitude expansions for instabilities in populations of globally-coupled oscillators
- On the complete synchronization of the Kuramoto phase model
- Partial entrainment in the finite Kuramoto-Sakaguchi model
- The spectrum of the locked state for the Kuramoto model of coupled oscillators
- Multistability of phase-locking and topological winding numbers in locally coupled Kuramoto models on single-loop networks
- Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
- Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
- Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs
- Synchronization of Pulse-Coupled Biological Oscillators
- The size of the sync basin
- Permutohedra, Associahedra, and Beyond
- Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
- Hierarchical stability and alert state steering control of interconnected power systems
- Coherency for interconnected power systems
- Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
- On the rate of convergence of normal extremes
- Markov Chains
- Order Statistics
- Volume Bounds for the Phase-Locking Region in the Kuramoto Model
- Topological States in the Kuramoto Model
- Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
- On Exponential Synchronization of Kuramoto Oscillators
- Synchronization in complex oscillator networks and smart grids
- On the Critical Coupling for Kuramoto Oscillators
- Phaselocked Solutions Of The Finite Size Kuramoto Coupled Oscillator Model
- Graph Homology and Stability of Coupled Oscillator Networks
- An Inequality
- Convexity
- An introduction to statistical modeling of extreme values
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