Seung-Yeal Ha

,

Myeongju Kang

J. Nonlinear Sci., February, 2025

Mono-cluster flocking and uniform-in-time stability of the discrete Motsch-Tadmor model.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

Asymptotic Tracking of a Point Cloud Moving on Riemannian Manifolds.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Control. Optim., August, 2023

Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia.

[BibT_eX]

[DOI]

Hangjun Cho

,

Jiu-Gang Dong

,

SIAM J. Appl. Dyn. Syst., June, 2023

Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model.

[BibT_eX]

[DOI]

,

,

SIAM J. Appl. Dyn. Syst., 2022

Emergent Behaviors of Rotation Matrix Flocks.

[BibT_eX]

[DOI]

Razvan C. Fetecau

,

,

SIAM J. Appl. Dyn. Syst., 2022

On the complete aggregation of the Wigner-Lohe model for identical potentials.

[BibT_eX]

[DOI]

,

Gyu-Young Hwang

,

Networks Heterog. Media, 2022

Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds.

[BibT_eX]

[DOI]

,

Myeongju Kang

,

Autom., 2022

A constrained consensus based optimization algorithm and its application to finance.

[BibT_eX]

[DOI]

,

,

,

,

,

Appl. Math. Comput., 2022

Emergent Behaviors of Cucker-Smale Flocks on Riemannian Manifolds.

[BibT_eX]

[DOI]

,

,

Franz Wilhelm Schlöder

IEEE Trans. Autom. Control., 2021

Asymptotic Stability of the Phase-homogeneous Solution to the Kuramoto-Sakaguchi Equation with Inertia.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Math. Anal., 2021

A Dynamical Systems Approach for the Shape Matching of Polytopes Along Rigid-Body Motions.

[BibT_eX]

[DOI]

,

SIAM J. Appl. Math., 2021

Uniform-in-Time Continuum Limit of the Winfree Model on an Infinite Cylinder and Emergent Dynamics.

[BibT_eX]

[DOI]

,

Myeongju Kang

,

Bora Moon

SIAM J. Appl. Dyn. Syst., 2021

Convergence and error estimates for time-discrete consensus-based optimization algorithms.

[BibT_eX]

[DOI]

,

Shi Jin

,

Numerische Mathematik, 2021

Emergent behaviors of Lohe Hermitian sphere particles under time-delayed interactions.

[BibT_eX]

[DOI]

,

Gyu-Young Hwang

,

Networks Heterog. Media, 2021

Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings.

[BibT_eX]

[DOI]

,

,

,

J. Nonlinear Sci., 2021

An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours.

[BibT_eX]

[DOI]

Razvan C. Fetecau

,

,

J. Nonlinear Sci., 2021

A Diffusion Limit for the Parabolic Kuramoto-Sakaguchi Equation with Inertia.

[BibT_eX]

[DOI]

,

Woojoo Shim

,

Yinglong Zhang

SIAM J. Math. Anal., 2020

Local Sensitivity Analysis for the Kuramoto-Daido Model with Random Inputs in a Large Coupling Regime.

[BibT_eX]

[DOI]

,

Shi Jin

,

Jinwook Jung

SIAM J. Math. Anal., 2020

On the Cucker-Smale Ensemble with the q-Closest Neighbors in a Self-Consistent Temperature Field.

[BibT_eX]

[DOI]

Jiu-Gang Dong

,

,

SIAM J. Control. Optim., 2020

On the Stochastic Flocking of the Cucker-Smale Flock with Randomly Switching Topologies.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Control. Optim., 2020

From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics.

[BibT_eX]

[DOI]

,

SIAM J. Appl. Dyn. Syst., 2020

Emergence of Bicluster Aggregation for the Swarm Sphere Model with Attractive-Repulsive Couplings.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Appl. Dyn. Syst., 2020

Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph.

[BibT_eX]

[DOI]

Jiu-Gang Dong

,

,

SIAM J. Appl. Dyn. Syst., 2020

Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration.

[BibT_eX]

[DOI]

,

,

Yinglong Zhang

Networks Heterog. Media, 2020

Special issue on mathematical models for collective dynamics.

[BibT_eX]

[DOI]

José Antonio Carrillo

,

,

Lorenzo Pareschi

,

Benedetto Piccoli

Networks Heterog. Media, 2020

Flocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical Domain.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Math. Anal., 2019

A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics.

[BibT_eX]

[DOI]

,

SIAM J. Appl. Dyn. Syst., 2019

A local sensitivity analysis for the kinetic Kuramoto equation with random inputs.

[BibT_eX]

[DOI]

,

Shi Jin

,

Jinwook Jung

Networks Heterog. Media, 2019

Flocking Dynamics of the Inertial Spin Model with a Multiplicative Communication Weight.

[BibT_eX]

[DOI]

,

,

,

J. Nonlinear Sci., 2019

Emergent Behaviors of Thermodynamic Cucker-Smale Particles.

[BibT_eX]

[DOI]

,

Jeongho Kim

,

Tommaso Ruggeri

SIAM J. Math. Anal., 2018

Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Appl. Dyn. Syst., 2018

Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration.

[BibT_eX]

[DOI]

,

Dongnam Ko

,

Yinglong Zhang

SIAM J. Appl. Dyn. Syst., 2018

Uniform stability and mean-field limit for the augmented Kuramoto model.

[BibT_eX]

[DOI]

,

,

,

Networks Heterog. Media, 2018

Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication.

[BibT_eX]

[DOI]

Young-Pil Choi

,

,

Jeongho Kim

Networks Heterog. Media, 2018

Convergence Analysis in the Maximum Norm of the Numerical Gradient of the Shortley-Weller Method.

[BibT_eX]

[DOI]

Jiwon Seo

,

,

Chohong Min

J. Sci. Comput., 2018

Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators.

[BibT_eX]

[DOI]

,

Jaeseung Lee

,

Networks Heterog. Media, 2017

The Wigner-Lohe model for quantum synchronization and its emergent dynamics.

[BibT_eX]

[DOI]

,

,

,

Networks Heterog. Media, 2017

Synchronization of Kuramoto Oscillators with Adaptive Couplings.

[BibT_eX]

[DOI]

,

Se Eun Noh

,

Jinyeong Park

SIAM J. Appl. Dyn. Syst., 2016

Simulation of interaction of flocking particles and an incompressible fluid.

[BibT_eX]

[DOI]

Hyeong-Ohk Bae

,

,

Yongsik Kim

Comput. Math. Appl., 2016

Emergent Dynamics for the Hydrodynamic Cucker-Smale System in a Moving Domain.

[BibT_eX]

[DOI]

,

Moon-Jin Kang

,

Bongsuk Kwon

SIAM J. Math. Anal., 2015

Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics.

[BibT_eX]

[DOI]

,

Se Eun Noh

,

Jinyeong Park

Networks Heterog. Media, 2015

Emergent Behaviors of Quantum Lohe Oscillators with All-to-All Coupling.

[BibT_eX]

[DOI]

Sun-Ho Choi

,

J. Nonlinear Sci., 2015

Uniform Stability and the Propagation of Regularity for the Relativistic Boltzmann Equation.

[BibT_eX]

[DOI]

,

Qinghua Xiao

SIAM J. Math. Anal., 2014

Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration.

[BibT_eX]

[DOI]

,

Yongduck Kim

,

SIAM J. Appl. Dyn. Syst., 2014

Complete Entrainment of Lohe Oscillators under Attractive and Repulsive Couplings.

[BibT_eX]

[DOI]

Sun-Ho Choi

,

SIAM J. Appl. Dyn. Syst., 2014

A revisit to the consensus for linearized Vicsek model under joint rooted leadership via a special matrix.

[BibT_eX]

[DOI]

,

Xiaoping Xue

,

Networks Heterog. Media, 2014

Asymptotic synchronous behavior of Kuramoto type models with frustrations.

[BibT_eX]

[DOI]

,

Yongduck Kim

,

Networks Heterog. Media, 2014

Global existence and asymptotic behavior of measure valued solutions to the kinetic Kuramoto-Daido model with inertia.

[BibT_eX]

[DOI]

Young-Pil Choi

,

,

Seok-Bae Yun

Networks Heterog. Media, 2013

Cucker-Smale flocking with alternating leaders.

[BibT_eX]

[DOI]

,

CoRR, 2013

On the Basin of Attractors for the Unidirectionally Coupled Kuramoto Model in a Ring.

[BibT_eX]

[DOI]

,

Moon-Jin Kang

SIAM J. Appl. Math., 2012

Asymptotic Behavior of the Nonlinear Vlasov Equation with a Self-Consistent Force.

[BibT_eX]

[DOI]

Sun-Ho Choi

,

SIAM J. Math. Anal., 2011

Cucker-Smale Flocking With Inter-Particle Bonding Forces.

[BibT_eX]

[DOI]

Jaemann Park

,

H. Jin Kim

,

IEEE Trans. Autom. Control., 2010

Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings.

[BibT_eX]

[DOI]

,

Taeyoung Ha

,

Jong-Ho Kim

IEEE Trans. Autom. Control., 2010

New Lyapunov Functionals of the Vlasov-Poisson System.

[BibT_eX]

[DOI]

Myeongju Chae

,

SIAM J. Math. Anal., 2006

L1 Stability for Systems of Hyperbolic Conservation Laws with a Resonant Moving Source.

[BibT_eX]

[DOI]

,

Tong Yang

SIAM J. Math. Anal., 2003

L1 Stability for Systems of Conservation Laws with a Nonresonant Moving Source.

[BibT_eX]

[DOI]