Synchronization of weakly coupled oscillators is ubiquitous in biological and chemical
complex systems. Recently, research on collective dynamics of many-body systems has …

We partially integrate a system of rectangular matrix Riccati equations which describe the
synchronization behavior of a nonlinear complex system of N globally connected oscillators …

Abstract We generalize the Watanabe–Strogatz (WS) transform, which acts on the Kuramoto
model in d= 2 dimensions, to a higher-dimensional vector transform which operates on …

We study the semiclassical limit of quantum synchronization model and concentration
estimates for the resulting limit model. From the Schrödinger-Lohe model, we rigorously …

We investigate a non-Abelian generalization of the Kuramoto model proposed by Lohe and
given by N quantum oscillators ('nodes') connected by a quantum network where the …

We study the asymptotic dynamics of the high-dimensional Kuramoto oscillators on the unit
sphere with two-and three-body interactions that trigger competition between synchrony and …

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 …

The Lohe tensor model is a first-order tensor-valued continuous-time dynamical system for
the aggregation of tensors with the same rank and size. It reduces to the well-known …

We establish the convergence of a heterogeneous multiagent system on the unit sphere in
even-dimensional Euclidean space. In this work, we show that all relative distances …

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 …