31. Winfree model with adaptive coupling, (with Hangjun Cho, Seung-Yeal Ha and Eun Taek Lee).

30. Energy preserving Cucker-Smale model, (with Seung-Yeal Ha, Dongnam Ko, and Chanho Min).

29. Interplay of higher-order Influence with uncertainty in Winfree model, (with Seung-Yeal Ha, Jaeyoung Yoon, and Mattia Zanella).

28. A structure and asymptotic preserving scheme for the inertial Kuramoto-Sakaguchi model, (with Francis Filbet).

27. Discrete relativistic Cucker-Smale model on Riemannian manifold, (with Hyunjin Ahn, Seung-Yeal Ha, and Woojoo Shim).

26. Emergent behavior of the Winfree model with a fractional derivative, (with Hyunjin Ahn).

25. Mean-field limit of stochastic volatility model and its asymptotic behavior, (with Hyeong-Ohk Bae and Seung-Yeal Ha).

24. Emergent behaviors of a Kuramoto ensemble under memory effect, (with Hangjun Cho and Seung-Yeal Ha). (Under review).

23. Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation, (with Francis Filbet). (Under review).

22. Consensus-based optimization algorithm with repulsion and its application to online optimization problems, (with Hyeong-Ohk Bae,  Seung-Yeal Ha, Chanho Min, and Jane Yoo). (Under review).

21. Uniform-in-time asymptotic limits of generalized Kuramoto models, (with Hangjun Cho, Seung- Yeal Ha and Chanho Min). (Under review).

20. The mean-field limit of the relativistic Cucker-Smale model on complete Riemannian manifolds, (with Hyunjin Ahn, Seung-Yeal Ha, and Woojoo Shim). (Under review).

19. Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia, (with Marco Rehmeier). Communications in Mathematical Sciences, 21 (2023), 1875-1894. https://dx.doi.org/10.4310/CMS.2023.v21.n7.a6 *

18. Emergent dynamics of various Cucker-Smale type models with a fractional derivative, (with Hyunjin Ahn). Mathematical Biosciences and Engineering, 20 (2023), 17949-17985. https://doi.org/10.3934/mbe.2023798

17. Continuum limit of the lattice Lohe group model and emergent dynamics, (with Hangjun Cho and Seung-Yeal Ha). Mathematical Methods in the Applied Sciences, 46 (2023), 9783-9818. https://doi.org/10.1002/mma.9086 *

16. Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model, (with Chanho Min, Hyunjin Ahn, and Seung-Yeal Ha). Kinetic and Related Models, 16 (2023), 97-132. https://dx.doi.org/10.3934/krm.2022024 *

15. Stochastic Consensus Dynamics for Nonconvex Optimization on the Stiefel Manifold: Mean-Field Limit and Convergence, (with Jeongho Kim, Dohyun Kim, Seung-Yeal Ha and Insoon Yang). Mathematical Models and Methods in Applied Sciences, 32 (2022), 533-617. https://doi.org/10.1142/S0218202522500130

14. A constrained consensus based optimization algorithm and its application to finance, (with Hyeong-Ohk Bae, Seung-Yeal Ha, Hyuncheul Lim, Chanho Min, and Jane Yoo). Applied Mathematics and Computation, 416 (2022), 126726. https://doi.org/10.1016/j.amc.2021.126726

13. Time-delayed Stochastic volatility model, (with Hyeong-Ohk Bae, Seung-Yeal Ha, Yongsik Kim, Hyuncheul Lim, Jane Yoo). Physica D, 430 (2022), 133088. https://doi.org/10.1016/j.physd.2021.133088

12. Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds, (with Seung-Yeal Ha and Dohyun Kim). Automatica, 136 (2022), 110072. https://doi.org/10.1016/j.automatica.2021.110072 * 

11. Uniform-in-time continuum limit of  the lattice Winfree model and emergent dynamics, (with Seung-Yeal Ha and Bora Moon). Kinetic and Related Models, 14 (2021), 1003-1033. https://dx.doi.org/10.3934/krm.2021036 *

10. Emergent behaviors of relativistic flocks on Riemannian manifolds, (with Hyunjin Ahn, Seung-Yeal Ha, and Woojoo Shim). Physica D, 427 (2021), 133011. https://doi.org/10.1016/j.physd.2021.133011

 9. Emergent Behaviors of the Continuum Thermodynamic Kuramoto model in a large coupling regime, (with Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri, and Woojoo Shim). Journal of Differential Equations, 300 (2021), 519-564. https://doi.org/10.1016/j.jde.2021.07.047 *

8. Emergent asymptotic patterns for the discrete and continuous Winfree models with inertia, (with Seung-Yeal Ha and Woojoo Shim). Communications in Mathematical Sciences, 19 (2021), 2217 – 2248. https://dx.doi.org/10.4310/CMS.2021.v19.n8.a7 *

7. Uniform-in-time continuum limit of the Winfree model on an infinite cylinder and emergent dynamics, (with Seung-Yeal Ha and Bora Moon). SIAM Journal on Applied Dynamical Systems, 20 (2021), 1104–1134. https://doi.org/10.1137/20M1355033

6. Collective Behaviors of the Lohe Hermitian Sphere Model with Inertia, (with Seung-Yeal Ha and Hansol Park). Communications on Pure and Applied Analysis, 20 (2021), 2613-2641. https://dx.doi.org/10.3934/cpaa.2021046 *

5. Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model, (with Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri, and Woojoo Shim). Quarterly of Applied Mathematics, 79 (2021), 445-478. https://doi.org/10.1090/qam/1588

4. Emergent dynamics of the Lohe Hermitian sphere model with frustration, (with Seung-Yeal Ha and Hansol Park), Journal of Mathematical Physics, 62 (2021), 052701. https://doi.org/10.1063/5.0038769

3. On the emerging asymptotic patterns for the Winfree model with frustrations, (with Seung-Yeal Ha and Bora Moon). Nonlinearity, 34 (2021),  2454-2482. https://doi.org/10.1088/1361-6544/abb9f8 *

2. Collective behaviors of a Winfree ensemble on an infinite cylinder (with Seung-Yeal Ha and Bora Moon).  Discrete and Continuous Dynamical Systems Series B, 26 (2021), 2749-2779. http://doi.org/10.3934/dcdsb.2020204

1.  A stochastic consensus method for nonconvex optimization on the Stiefel manifold, (with Jeongho Kim,  Dohyun Kim, Seung-Yeal Ha and Insoon Yang). 59th IEEE Conference on Decision and Control 2020. https://doi.org/10.1109/CDC42340.2020.9304325

*Corresponding Author