The size of the sync basin revisited
From MaRDI portal
Publication:4644307
DOI10.1063/1.4986156zbMath1387.34052arXiv1706.00344OpenAlexW2621389338WikidataQ47178473 ScholiaQ47178473MaRDI QIDQ4644307
Melvyn Tyloo, Robin Delabays, Philippe Jacquod
Publication date: 30 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.00344
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (4)
Configurational stability for the Kuramoto–Sakaguchi model ⋮ When is sync globally stable in sparse networks of identical Kuramoto oscillators? ⋮ Clusterization and phase diagram of the bimodal Kuramoto model with bounded confidence ⋮ Stability in the Kuramoto-Sakaguchi model for finite networks of identical oscillators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synchronization in complex networks of phase oscillators: a survey
- Chemical oscillations, waves, and turbulence
- Synchronization in a pool of mutually coupled oscillators with random frequencies
- Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
- On the region of attraction of nonlinear quadratic systems
- Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
- 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
- Transitions amongst synchronous solutions in the stochastic Kuramoto model
- Multistability of phase-locking in equal-frequency Kuramoto models on planar graphs
- Stability regions of nonlinear dynamical systems: a constructive methodology
- Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
- There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
- The size of the sync basin
- Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
- On the estimation of asymptotic stability regions: State of the art and new proposals
- Cycle flows and multistability in oscillatory networks
- Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
- Chaos in Dynamical Systems
- On the Basin of Attractors for the Unidirectionally Coupled Kuramoto Model in a Ring
- Synchronization in complex oscillator networks and smart grids
- Quantum phase transitions and vortex dynamics in superconducting networks
- Potentials and limits to basin stability estimation
This page was built for publication: The size of the sync basin revisited
