Cluster Synchrony of High-Dimensional Kuramoto Models with Higher-Order Couplings

DOI10.1137/20M1369002zbMath1485.34107OpenAlexW3211017172MaRDI QIDQ5163687

Publication date: 5 November 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1369002

zbMATH Keywords

aggregation synchronization emergence Kuramoto model Lohe matrix model swarm sphere model bipolar synchronization higher-order couplings

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems on manifolds (34C40) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
A nonlinear model of opinion formation on the sphere
On the emergence and orbital stability of phase-locked states for the Lohe model
Synchronization of Kuramoto model in a high-dimensional linear space
Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics
Intrinsic tetrahedron formation of reduced attitude
Complete synchronization of Kuramoto oscillators with hierarchical leadership
A formula for the general solution of Riccati type matrix differential equations
Intrinsic reduced attitude formation with ring inter-agent graph
Synchronization and stability for quantum Kuramoto
Particle and kinetic models for swarming particles on a sphere and stability properties
Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds
On the completely separable state for the Lohe tensor model
On the double sphere model of synchronization
Long-time dynamics for a simple aggregation equation on the sphere
Asymptotic behavior of gradient flows on the unit sphere with various potentials
Bipartite flocking for multi-agent systems
A matrix-valued Kuramoto model
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
Emergence of aggregation in the swarm sphere model with adaptive coupling laws
A mean-field limit of the Lohe matrix model and emergent dynamics
Emergent dynamics of a generalized Lohe model on some class of Lie groups
On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions
Consensus Control for Heterogeneous Multiagent Systems
Complete Entrainment of Lohe Oscillators under Attractive and Repulsive Couplings
Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns
On Equilibria and Consensus of the Lohe Model with Identical Oscillators
Non-Abelian Kuramoto models and synchronization
An analytical framework for consensus-based global optimization method
Synchronization of relativistic particles in the hyperbolic Kuramoto model
Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization
A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics
Observing microscopic transitions from macroscopic bursts: Instability-mediated resetting in the incoherent regime of the D-dimensional generalized Kuramoto model
The link between coherence echoes and mode locking
A consensus-based global optimization method for high dimensional machine learning problems
Emergence of Bicluster Aggregation for the Swarm Sphere Model with Attractive-Repulsive Couplings
Emergent behaviors of a holonomic particle system on a sphere
Consensus Optimization on Manifolds
Dynamical equivalence between Kuramoto models with first- and higher-order coupling
Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
Low dimensional behavior of large systems of globally coupled oscillators
Long time evolution of phase oscillator systems
Emergent Behavior in Flocks
Almost global consensus on the n-sphere
Clustering and Bellerophon state in Kuramoto model with second-order coupling
Dini derivatives in optimization — Part I
Distributed sensor networks -- a review of recent research.

This page was built for publication: Cluster Synchrony of High-Dimensional Kuramoto Models with Higher-Order Couplings