Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere

DOI10.1063/1.5029485zbMath1405.37028OpenAlexW2886377320WikidataQ91285661 ScholiaQ91285661MaRDI QIDQ4685029

Aladin Crnkić, Vladimir Jacimovic

Publication date: 4 October 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5029485

zbMATH Keywords

Kuramoto modellow-dimensional dynamicsdistribution of oscillators

Mathematics Subject Classification ID

Related Items (18)

The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models ⋮ Emergent behaviors of discrete Lohe aggregation flows ⋮ The general non-abelian Kuramoto model on the 3-sphere ⋮ Consensus and balancing on the three-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 ⋮ From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics ⋮ Dynamics of the Kuramoto-Sakaguchi oscillator network with asymmetric order parameter ⋮ On synchronization in Kuramoto models on spheres ⋮ Emergent behaviors of Lohe tensor flocks ⋮ Emergent behaviors of the generalized Lohe matrix model ⋮ Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization ⋮ Emergent behaviors of Lohe Hermitian sphere particles under time-delayed interactions ⋮ Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics ⋮ Emergent dynamics of the Lohe Hermitian sphere model with frustration ⋮ Asymptotic interplay of states and adaptive coupling gains in the Lohe Hermitian sphere model ⋮ Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics ⋮ On reversibility of macroscopic and microscopic dynamics in the Kuramoto model

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