Nonlinear Partial Differential Equations, Mathematical Physics, Dynamical Systems, Control theory
Journal Articles
(2024)
LOW-DIMENSIONAL REDUCTION OF THE NON-ABELIAN QUANTUM SYNCHRONIZATION MODELS ON THE UNITARY GROUP.
KINETIC AND RELATED MODELS.
17,
3
(2023)
On the Convergence Properties of a Heterogeneous Multiagent System on the Unit Sphere.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL.
68,
12
(2023)
EMERGENT BEHAVIORS OF TWO ATTRACTIVELY COUPLED SWARM SPHERE MODELS WITH FRUSTRATION.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
28,
9
(2023)
Slow and finite-time relaxations to m-bipartite consensus on the Stiefel manifold.
SYSTEMS & CONTROL LETTERS.
177,
1
(2023)
Uniform stability and emergent dynamics of particle and kinetic Lohe matrix models.
JOURNAL OF DIFFERENTIAL EQUATIONS.
364,
1
(2022)
On the emergent behavior of the swarming models on the complex sphere.
STUDIES IN APPLIED MATHEMATICS.
148,
3
(2022)
Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: Mean-field limit and convergence.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES.
32,
03
(2022)
ON THE COMPLETE AGGREGATION OF THE WIGNER-LOHE MODEL FOR IDENTICAL POTENTIALS.
NETWORKS AND HETEROGENEOUS MEDIA.
17,
5
(2022)
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS.
21,
2
(2022)
Two-point correlation function and its applications to the Schrödinger-Lohe type models.
QUARTERLY OF APPLIED MATHEMATICS.
80,
1
(2022)
COMPLETE SOLVABILITY OF THE INERTIAL SPIN MODEL WITH AN AVERAGED SPIN.
QUARTERLY OF APPLIED MATHEMATICS.
80,
1
(2022)
Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds.
AUTOMATICA.
136,
1
(2022)
AGGREGATION AND DISAGGREGATION OF ACTIVE PARTICLES ON THE UNIT SPHERE WITH TIME-DEPENDENT FREQUENCIES.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
27,
4
(2021)
CLUSTER SYNCHRONY OF HIGH-DIMENSIONAL KURAMOTO MODELS WITH HIGHER-ORDER COUPLINGS.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION.
59,
6
(2021)
On the Completely Separable State for the Lohe Tensor Model.
JOURNAL OF STATISTICAL PHYSICS.
183,
1
(2021)
Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings.
JOURNAL OF NONLINEAR SCIENCE.
31,
2