In this article, we present a new Cucker-Smale model on smooth Riemannian manifolds
using the concepts of covariant derivative and parallel transport, and we also study its …

We present a practical synchronization method for the Schrödinger–Lohe (S–L) system
distinct potentials. The S–L model describes the spatial-temporal evolution of the wave …

We study a second-order extension to the first-order Lohe matrix model on the unitary group
which can be reduced to the second-order Kuramoto model with inertia as a special case …

We present a quantum synchronization estimate of the Schrödinger–Lohe (S–L) model
introduced by Lohe (2010 J. Phys. A: Math. Theor. 43 465301). The S–L model describes …

We study wave function synchronization of the Schrödinger–Lohe model, which describes
the dynamics of the ensemble of coupled quantum Lohe oscillators with infinite states. To do …

We study an emergent synchronous behavior for an ensemble of Lohe qubit oscillators
whose quantum states are described by 2 * 2 2× 2 unitary matrices. The quantum Lohe …

The Schrödinger-Lohe (SL) model is an infinite-dimensional non-Abelian generalization of
the Kuramoto model which serves as a prototype model for quantum synchronization. In this …

We present several sufficient frameworks leading to the emergent behaviors of the coupled
Schrödinger–Lohe (S–L) model under the same one-body external potential on cooperative …

We study the emergent dynamics of a first-order particle swarm model (PSM) on the
hyperboloid with a constant negative curvature that corresponds to the special case (p …

We study asymptotic behaviors of the second-order Lohe matrix model on the unitary group.
For the emergent behaviors, we show that a solution to the Lohe matrix model with identical …