Complexity reduction ansatz for systems of interacting orientable agents: Beyond the Kuramoto model
From MaRDI portal
Publication:5382849
DOI10.1063/1.5093038zbMath1415.34085arXiv1809.00783OpenAlexW3106392193WikidataQ92468271 ScholiaQ92468271MaRDI QIDQ5382849
Sarthak Chandra, Edward Ott, Michelle Girvan
Publication date: 18 June 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.00783
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items
On the double sphere model of synchronization ⋮ Complexity reduction in the 3D Kuramoto model ⋮ The general non-abelian Kuramoto model on the 3-sphere ⋮ Chimera dynamics of generalized Kuramoto–Sakaguchi oscillators in two-population networks ⋮ Volcano transition in a system of generalized Kuramoto oscillators with random frustrated interactions ⋮ Conformists and contrarians on spheres ⋮ On synchronization in Kuramoto models on spheres ⋮ Emergent dynamics of an orientation flocking model for multi-agent system ⋮ Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Synchronization of Kuramoto model in a high-dimensional linear space
- Dynamics of heterogeneous oscillator ensembles in terms of collective variables
- Chemical oscillations, waves, and turbulence
- Constants of motion for superconducting Josephson arrays
- On partial contraction analysis for coupled nonlinear oscillators
- An adaptive model for synchrony in the firefly Pteroptyx malaccae
- Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns
- Emergent behaviour of a generalized Viscek-type flocking model
- Solvable model of the collective motion of heterogeneous particles interacting on a sphere
- Non-Abelian Kuramoto models and synchronization
- Integrability of a globally coupled oscillator array
- Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization
- Observing microscopic transitions from macroscopic bursts: Instability-mediated resetting in the incoherent regime of the D-dimensional generalized Kuramoto model
- Modeling the network dynamics of pulse-coupled neurons
- Flocking of Multi-Agent Non-Holonomic Systems With Proximity Graphs
- Consensus Optimization on Manifolds
- 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
- Long time evolution of phase oscillator systems
- Low dimensional description of pedestrian-induced oscillation of the Millennium Bridge
- Invariant submanifold for series arrays of Josephson junctions
- Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]
- Distributed Geodesic Control Laws for Flocking of Nonholonomic Agents
- Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
- High-dimensional Kuramoto model limited on smooth curved surfaces
