29 citations · 142 across the 32 of their papers we have counts for
14 papers · 1 filter
Emergent behaviors in group ring flocks
Seung-Yeal Ha, Hansol Park
We present a first-order aggregation model on a group ring, and study its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the propos…
Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
Seung-Yeal Ha, Dohyun Kim, Hansol Park +1
We present constants of motion for the finite-dimensional Lohe type aggregation models with frustration and we apply them to analyze the emergence of collective behaviors. The Lohe…
Collective behaviors of the Lohe hermitian sphere model with inertia
Seung-Yeal Ha, Myeongju Kang, Hansol Park
We present a second-order extension of the first-order Lohe hermitian sphere(LHS) model and study its emergent asymptotic dynamics. Our proposed model incorporates an inertial effe…
An intrinsic aggregation model on the special orthogonal group : well-posedness and collective behaviours
Razvan C. Fetecau, Seung-Yeal Ha, Hansol Park
We investigate an aggregation model with intrinsic interactions on the special orthogonal group . We consider a smooth interaction potential that depends on the squared intr…
Emergent dynamics of the Lohe Hermitian sphere model with frustration
Seung-Yeal Ha, Myeongju Kang, Hansol Park
We study emergent dynamics of the Lohe hermitian sphere(LHS) model which can be derived from the Lohe tensor model \cite{H-P2} as a complex counterpart of the Lohe sphere(LS) model…
KS-pies: Kohn-Sham Inversion Toolkit
Seungsoo Nam, Ryan J. McCarty, Hansol Park +1
A Kohn-Sham (KS) inversion determines a KS potential and orbitals corresponding to a given electron density, a procedure that has applications in developing and evaluating function…
Emergent behaviors of Cucker-Smale flocks on the hyperboloid
Hyunjin Ahn, Seung-Yeal Ha, Hansol Park +1
We study emergent behaviors of Cucker-Smale(CS) flocks on the hyperboloid in any dimensions. In a recent work \cite{H-H-K-K-M}, a first-order aggregation model on th…
A dynamical systems approach for the shape matching of polytopes along rigid-body motions
Seung-Yeal Ha, Hansol Park
We present a dynamical systems approach for geometric matchings in an ensemble of polytopes along rigid-body motions. Each polytope can be characterized by a vertex set and edge or…
From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics
Seung-Yeal Ha, Hansol Park
We study emergent behaviors of the Lohe hermitian sphere(LHS) model which is an aggregation model on . The LHS model is a complex analog of the Lohe sphere model on…
On the Schrödinger-Lohe hierarchy for aggregation and its emergent dynamics
Seung-Yeal Ha, Hansol Park
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 tenso…
Emergent Behaviors of the generalized Lohe matrix model
Seung-Yeal Ha, Hansol Park
We present a first-order aggregation model on the space of complex matrices which can be derived from the Lohe tensor model on the space of tensors with the same rank and size. We…
A gradient flow formulation of the Lohe matrix model with a high-order polynomial coupling
Seung-Yeal Ha, Hansol Park
We present a generalized Lohe matrix model for a homogeneous ensemble with higher order couplings via the gradient flow approach. For the homogeneous free flow with the same hamilt…
Complete aggregation of the Lohe tensor model with the same free flow
Seung-Yeal Ha, Hansol Park
The Lohe tensor model is a first-order tensor-valued continuous-time model for the aggregation of tensors with the same rank and size. It reduces to well-known aggregation models s…
Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice
Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri +1
The temporal evolution of Kuramoto oscillators influenced by the temperature field often appears in biological oscillator ensembles. In this paper, we propose a generalized Kuramot…