Flow and Elastic Networks on the đ-Torus: Geometry, Analysis, and Computation
From MaRDI portal
Publication:5025736
DOI10.1137/18M1242056zbMath1489.37053arXiv1901.11189OpenAlexW2990566680MaRDI QIDQ5025736
Bullo, Francesco, Saber Jafarpour, Elizabeth Y. Huang, Kevin Smith
Publication date: 3 February 2022
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.11189
Nonlinear systems in control theory (93C10) Dynamical systems in control (37N35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving maps of trees and graphs (37E25) Monotone flows as dynamical systems (37C65)
Related Items
Synchronization of power systems under stochastic disturbances ⎠Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cycle bases in graphs characterization, algorithms, complexity, and applications
- Chemical oscillations, waves, and turbulence
- Stability of twisted states in the Kuramoto model on Cayley and random graphs
- The behavior of rings of coupled oscillators
- Manifolds, tensor analysis, and applications.
- Oscillatory associative memory network with perfect retrieval
- A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
- New length bounds for cycle bases
- Small-world networks of Kuramoto oscillators
- The spectrum of the locked state for the Kuramoto model of coupled oscillators
- Synchronization and power sharing for droop-controlled inverters in islanded microgrids
- Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators
- Multistability of phase-locking and topological winding numbers in locally coupled Kuramoto models on single-loop networks
- Modeling the Modulation of Neuronal Bursting: A Singularity Theory Approach
- Mixed-Mode Oscillations with Multiple Time Scales
- Minimum cycle bases
- Geometric critical point analysis of lossless power system models
- There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
- Coupled Chemical Oscillators
- The size of the sync basin
- A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph
- Algebraic Potential Theory on Graphs
- Configurational stability for the KuramotoâSakaguchi model
- Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
- Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling
- Topological States in the Kuramoto Model
- A Theory of Solvability for Lossless Power Flow EquationsâPart I: Fixed-Point Power Flow
- Cycle flows and multistability in oscillatory networks
- On Systems of Linear Diophantine Equations
- Stability of phase locking in a ring of unidirectionally coupled oscillators
- On Exponential Synchronization of Kuramoto Oscillators
- Transient Stability of Droop-Controlled Inverter Networks With Operating Constraints
- Synchronization in complex oscillator networks and smart grids
- Synchronization of Kuramoto Oscillators via Cutset Projections
- On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization
- Stabilization of Planar Collective Motion: All-to-All Communication
- Neural networks and physical systems with emergent collective computational abilities.
- Convex Relaxation of Optimal Power FlowâPart I: Formulations and Equivalence
- CHANGING OPINIONS IN A CHANGING WORLD: A NEW PERSPECTIVE IN SOCIOPHYSICS