Publications

Journal articles

(2025)

1. Asymptotic convergence of heterogeneous first-order aggregation models: from the sphere to the unitary group (with Hansol Park*). J. Math. Anal. Appl. 546 (2025), 129174.

2. Emergent behaviors of a non-abelian quantum synchronization model over the unitary group (with Jeongho Kim*). Eur. J. Appl. Math. 36 (2025), pp. 328-348. 

3. Remarks on the minimal alpha-energy problems (with Hyungjin Huh and Hansol Park*). Commun. Math. Sci. 23 (2025), pp. 1241-1270

(2024)

1. Low-dimensional reduction of the non-Abelian quantum synchronization models on the unitary group (with Jeongho Kim*) Kinet. Relat. Models 17 (2024), pp. 436-467.

2. Network structure changes local stability of universal equilibria for swarm sphere model (with Hyungjin Huh) J. Math. Anal. Appl. 538 (2024), 128405.*

3. On the asymptotic persistency of a bi-cluster flocking in Cucker-Smale ensemble (with Hangjun Cho*, Seung-Yeal Ha and Se Eun Noh). Commun. Pure Appl. Anal. 23 (2024), pp. 645-673.

4. Local synchrony of Kuramoto oscillators on the Cartesian product of two unit circles (with Hangjun Cho*, Seung-Yeal Ha, Se Eun Noh). Commun. Math. Sci. 22 (2024), pp. 2089-2129. 

5. Critical threshold for synchronizability of high-dimensional Kuramoto oscillators under higher-order interactions (with Hyungjin Huh) Chaos 24 (2024), 123119.*

6. On the semiclassical limit of the Schrödinger-Lohe model and concentration estimates (with Seung-Yeal Ha and Gyuyoung Hwang*) J. Math. Phys. 65 (2024), 122702.

(2023) 36

1. On the convergence properties of a heterogeneous multi-agent system on the unit sphere. IEEE Trans. Automat. Control 68 (2023), pp. 8301--8307.

2. Slow and finite-time relaxations to m-bipartite consensus on the Stiefel manifold. Systems Control Lett. 177 (2023), 105549. 

3. Uniform stability and emergent dynamics of particle and kinetic Lohe matrix models, (with Seung-Yeal Ha). J. Differential Equations 364 (2023), pp. 181--243.*

4. Emergent behaviors of two attractively coupled swarm sphere models with frustration (with Hangjun Cho* and Seung-Yeal Ha). Discrete Contin. Dyn. Syst. B 28 (2023), pp. 4864--4897. 

(2022)

1. Two-point correlation function and its applications to the Schrödinger-Lohe type models (with Seung-Yeal Ha and Gyuyoung Hwang*). Quart. Appl. Math. 80 (2022), pp. 669--699.

2. Existence and emergent dynamics of quadratically separable states to the Lohe tensor model (with Seung-Yeal Ha and Hansol Park*). SIAM J. Appl. Dyn. Syst. 21 (2022), pp.1166--1208.

3. On the complete aggregation of the Wigner-Lohe model for identical potentials (with Seung-Yeal Ha and Gyuyoung Hwang*). Netw. Heterog. Media 17 (2022), pp. 665--686.

4. Stochastic consensus dynamics for nonconvex optimization on the Stiefel manifold: mean-field limit and convergence (with Seung-Yeal Ha, Myeongju Kang, Jeongho Kim and Insoon Yang*). Math. Models Methods Appl. Sci. 32 (2022), pp.533--617.

5. Complete solvability of the inertial spin model with an averaged spin (with by Hyungjin Huh). Quart. Appl. Math. 80 (2022), pp.53--67.*

6. Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds (with Seung-Yeal Ha and Myeongju Kang*) Automatica 136 (2022), 110072.   

7. On the emergent behavior of the swarming models on the complex sphere (with Jeongho Kim*).  Stud. Appl. Math. 148 (2022), pp.1303--1338.  

8. Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies (with Jeongho Kim*) Discrete Contin. Dyn. Syst. B 27 (2022), pp. 2247-2273. 

(2021)

1. Cluster synchrony of high-dimensional Kuramoto models with higher-order couplings, SIAM J. Control Optim. 59 (2021), pp.4110--4135. 

2. On the completely separable state for the Lohe tensor model (with Seung-Yeal Ha and Hansol Park) J. Stat. Phys. 183 (2021).*

3. Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings (with Seung-Yeal Ha, Jaeseung Lee and Se Eun Noh). J. Nonlinear Sci. 31 (2021).*

4. Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics, (with Seung-Yeal Ha, Hansol Park and Seung-Yeon Ryoo), Physica D 416 (2021), 132781.

5. Asymptotic behavior of gradient flows on the unit sphere with various potentials (with Hyungjin Huh), J. Differential Equations 270 (2021), pp. 47--93.*
   
   
   

(2020)

1. Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings, (with Seung-Yeal Ha, Jinyeong Park), Commun. Pure Appl. Anal. 19 (2020), pp. 4621–4654.

2. Emergence of bicluster aggregation for the swarm sphere model with attractive-repulsive couplings (with Seung-Yeal Ha, Jaeseung Lee and Se Eun Noh), SIAM J. Appl. Dyn. Syst. 19 (2020), 1225--1270.

3. State-dependent dynamics of the Lohe matrix ensemble on the unitary group under the gradient flow, SIAM J. Appl. Dyn. Syst. 19 (2020), 1080--1123. 

4. Emergent behaviors of a first-order particle swarm model on the hyperboloid, (with Seung-Yeal Ha, Seungsu Hwang, Sun-chul Kim and Chanho Min), J. Math. Phys. 61 (2020), 042701. 

5. Stochastic Lohe matrix model on the Lie group and mean-field limit (with Jeongho Kim), J. Stat. Phys. 178 (2020), 1467--1514.

6. Emergent dynamics of an orientation flocking model for multi-agent system, (with Seung-Yeal Ha, Jaeseung Lee and Se Eun Noh), Discrete Contin. Dyn. Syst. A 40 (2020), 2037--2060. 

7. Asymptotic behavior of a second-order swarm sphere model and its kinetic limit, Kinet. Relat. Models 13 (2020), 401--434.  

8. Emergent dynamics of the Lohe matrix ensemble on a network under time-delayed interactions (with Seung-Yeal Ha, Doheon Kim, Hansol Park and Woojoo Shim), J. Math. Phys. 61 (2020) 012702.
   
   
   

(2019)

1. Emergence of synchronous behaviors for the Schrödinger-Lohe model with frustration, (with Seung-Yeal Ha), Nonlinearity 32 (2019), 4609--4637. 

2. Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system, (with Weizhu Bao, Seung-Yeal Ha and Qinglin Tang), Physica D 400 (2019), 132158.

3. Emergent behaviors of the second-order Lohe matrix model on the unitary group (with Seung-Yeal Ha), J. Stat. Phys. 175 (2019), pp. 904-931.  

4. Uniform-in-time transition from discrete to continuous dynamics in the Kuramoto synchronization, (with Seung-Yeal Ha, Jeongho Kim and Xiongtao Zhang), J. Math. Phys. 60 (2019), 051508. 

5. A second-order swarm model on sphere and its emergent dynamics, (with Seung-Yeal Ha), SIAM J. Appl. Dyn. Syst. 18 (2019), pp. 80--116. 

6. Flocking dynamics of the inertial spin model with a multiplicative communication weight, (with Seung-Yeal Ha, Doheon Kim and Woojoo Shim),  J. Nonlinear Sci. 29 (2019), pp. 1301--1342.

7. Emergence of aggregation in the swarm sphere model with adaptive coupling law, (with Seung-Yeal Ha, Jaeseung Lee and Se Eun Noh),  Kinet. Relat. Models 12 (2019), pp. 411--444.  

8. Particle and kinetic models for swarming particles on a sphere and their stability properties, (with Seung-Yeal Ha, Jaeseung Lee and Se Eun Noh),  J. Stat. Phys. 174 (2019),  pp. 622--655.
   
   

(2018)

1. Asymptotic behavior and stability for the Schrödinger-Lohe model, (with Seung-Yeal Ha and Hyungjin Huh), J. Math. Phys. 59 (2018), 102701. 

(2017)

1. The Wigner-Lohe model for quantum synchronization and its emergent dynamics, (with Paolo Antonelli, Seung-Yeal Ha and Pierangelo Marcati), Netw. Heterog. Media 3 (2017), pp. 403--416. 

2. Emergent behaviors of the Schrödinger-Lohe model on cooperative-competitive networks, (with Seung-Yeal Ha and Hyungjin Huh), J. Differential Equations 263 (2017), pp. 8295--8321.