From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics
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Publication:5114424
DOI10.1137/19M1288553zbMath1441.82011arXiv2004.05418OpenAlexW3030917876MaRDI QIDQ5114424
Publication date: 23 June 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05418
emergencetensorsKuramoto modelquantum synchronizationphase locked statesLohe matrix modelLohe sphere modelLohe tensor modelLohe Hermitian sphere model
Interacting particle systems in time-dependent statistical mechanics (82C22) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items (13)
Emergent behaviors of discrete Lohe aggregation flows ⋮ On the Schrödinger-Lohe hierarchy for aggregation and its emergent dynamics ⋮ On the emergent behavior of the swarming models on the complex sphere ⋮ Complete aggregation of the Lohe tensor model with the same free flow ⋮ Convergence toward equilibrium of the first-order consensus model with random batch interactions ⋮ Emergent behaviors of the generalized Lohe matrix model ⋮ 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 ⋮ Collective behaviors of the Lohe Hermitian sphere model with inertia ⋮ Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model ⋮ Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
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