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 …

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

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 …

In this chapter, we review state-of-the-art results on the collective behaviors for Lohe type
first-order aggregation models. Collective behaviors of classical and quantum many-body …

We study the asymptotic emergent dynamics of two models that can be thought of as
extensions of the well known Schrödinger-Lohe model for quantum synchronization. More …

In this paper, we propose a multi-component Gross–Pitaevskii–Lohe (GPL for brevity)
system in which quantum units interact with each other such that collective behaviors can …

The Lohe hierarchy is a hierarchy of finite-dimensional aggregation models consisting of the
Kuramoto model, the complex Lohe sphere model, the Lohe matrix model and the Lohe …

We study the asymptotic emergent dynamics and the continuum limit for the Schrödinger-
Lohe (SL) model and semi-discrete SL model. For the SL model, emergent dynamics has …

We introduce the Schrödinger–Lohe model (S–L) with interaction frustration which is a toy
model for quantum synchronization, and study its emergent collective dynamics. Our …

We construct a complex system of N chiral fields, each regarded as a node or a constituent
of a complex field-theoretic system, which interact by means of chirally invariant potentials …