This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

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

We study the emergence of phase-locked states to the finite-dimensional Kuramoto model
from generic initial configurations which are not phase-locked states in a large coupling …

We study the collective relaxation dynamics appearing in weakly coupled Lohe oscillators in
a large coupling regime. The Lohe models on the unit sphere and unitary group were …

Synchronization as a typical collective phenomenon emerges in many complex systems,
and has attracted world-wide attention from science, engineering, sociology, and so forth …

We study the synchronization of Kuramoto oscillators with adaptive coupling in interacting
networks. Network dynamics preserves the sum of all incoming pairwise coupling strengths …

We introduce a Lohe group which is a new class of matrix Lie groups and present a
continuous dynamical system for the synchronization of group elements in a Lohe group …

Equilibria and consensus dynamics of the Lohe model with identical oscillators are
investigated under more general interconnection topologies. In the existing literatures on the …

We present an improved exponential frequency synchronization estimate for globally
coupled Kuramoto oscillators. For a sufficiently large coupling, it is numerically observed that …

We present a new aggregation model on the space of rank-m tensors with the same size,
and study emergent dynamics of the proposed model. Our proposed new aggregation …