Time-delayed interactions and synchronization of identical Lohe oscillators
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Publication:2809454
DOI10.1090/qam/1417zbMath1359.92012OpenAlexW2320398251MaRDI QIDQ2809454
Publication date: 30 May 2016
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1417
Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (18)
On the emergence and orbital stability of phase-locked states for the Lohe model ⋮ On Equilibria and Consensus of the Lohe Model with Identical Oscillators ⋮ Robustness and asymptotic stability for the Winfree model on a general network under the effect of time-delay ⋮ Synchronization of relativistic particles in the hyperbolic Kuramoto model ⋮ Emergent dynamics of a generalized Lohe model on some class of Lie groups ⋮ Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization ⋮ Interplay of the unit-speed constraint and time-delay in Cucker-Smale flocking ⋮ On the emergent behavior of the swarming models on the complex sphere ⋮ Unit speed flocking model with distance-dependent time delay ⋮ From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics ⋮ The WS transform for the Kuramoto model with distributed amplitudes, phase lag and time delay ⋮ Synchronization and stability for quantum Kuramoto ⋮ Emergent behaviors of Lohe tensor flocks ⋮ On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds ⋮ 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 ⋮ Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
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