Submitted articles
59. Asymptotic tracking towards countably infinite targets on Riemannian manifolds, (with Seung-Yeal Ha and Seungjun Lee) (Preprint)
58. Emergent behavior of the Winfree model with a fractional derivative, (with Myeongju Kang) (Preprint)
57. Stochastic asymptotic tracking success or failure in pursuer-evader dynamics under uncertain communications, (with Woojoo Shim) (Preprint)
56. Asymptotic pursuit success or failure in a discrete pursuer-evader model, (with Woojoo Shim) (Submitted)
55. Asymptotic target-tracking in discontinuous dynamical systems: Applications of Filippov's inclusion framework, (with Woojoo Shim) (Submitted)
54. Obstacle avoidance dynamics on Riemannian manifolds, (Submitted)
53. On the finite-time tracking of a single moving leader in Riemannian manifolds, (with Woojoo Shim) (Submitted)
52. Settling time analysis of a continuum model with finite-time target tracking, (with Woojoo Shim) (Submitted)
51. Analysis of a discontinuous tracking system for closest-target detection, (with Woojoo Shim) (Submitted)
50. Asymptotic tracking toward targets on Riemannian manifolds with collision and obstacle avoidance, (with Woojoo Shim) (Submitted)
49. Robust continuum target tracking in a McKean-Vlasov-type model via sliding mode control, (Submitted)
48. On discrete flocking dynamics in homogeneous spaces, (with Woojoo Shim) (Submitted)
47. Time-delay effects in multi-agent target tracking problem, (with Seung-Yeal Ha and Seungjun Lee) (Submitted)
46. On the emergence of the relativistic stochastic flocking model, (with Junhyeok Byeon and Jeong Seok Han) (Submitted)
45. On the finite-time multi-cluster flocking, (Submitted)
44. Finite-time tracking of a moving target point cloud in Euclidean spaces, (with Seung-Yeal Ha) (Submitted)
43. Interplay of the time-delay effect on the Cucker-Smale model with a fractional time derivative, (with Woojoo Shim) (Submitted)
Published articles
42. Quantitative estimates for time-discrete tracking models on Riemannian manifolds, (with Seung-Yeal Ha and Seungjun Lee) To appear in Communications on Pure and Applied Analysis.
41. Competitive flag pursuit with mutual repulsion in a multi-agent system on Riemannian manifolds, To appear in Communications in Nonlinear Science and Numerical Simulation.
40. The mean-field limit of the relativistic Cucker-Smale model on complete Riemannian manifolds, (with Seung-Yeal Ha, Myeongju Kang and Woojoo Shim) To appear in Journal of the Korean Mathematical Society.
39. Discontinuous Cucker-Smale model: Achieving flocking behavior through Filippov's differential inclusion, Nonlinear Analysis: Real World Applications, 87 (2026), 104441.
38. Asymptotic tracking of a continuum target through a continuum model on Riemannian manifolds, Evolution Equations and Control Theory, (2025), 10.3934/eect.2025056.
37. Collective behavior in discontinuous second-order consensus model with collision avoidance, Mathematical Control and Related Fields, (2025), 10.3934/mcrf.2025029.
36. Emergence of multi-cluster flocking in the relativistic Cucker-Smale model, (with Junhyeok Byeon and Seung-Yeal Ha) Quarterly of Applied Mathematics, (2025), https://doi.org/10.1090/qam/1720.
35. Finite-time target tracking on Riemannian manifolds: A sliding mode control approach, IEEE Control Systems Letters, 9 (2025), 2151-2156.
34. On the hydrodynamic model for target tracking and exponential tracking property, (with Seung-Yeal Ha) Journal of the Korean Mathematical Society, 62 (2025), 1181-1219.
33. Stochastic collective dynamics: Achieving finite-time flocking, (with Woojoo Shim) Journal of the Korean Society for Industrial and Applied Mathematics, 29 (2025), 65-87.
32. A quantitative approach for target-tracking problem on Riemannian manifolds, (with Seung-Yeal Ha) SIAM Journal on Control and Optimization, 63 (2025), 2397-2426.
31. Emergence of partial tracking in the set of active pursuer-evader pairs in Euclidean space, (with Junhyeok Byeon, Seung-Yeal Ha and Jaeyoung Yoon) Automatica, 179 (2025), 112445.
30. Continuum modeling and analysis of collective motion on Riemannian manifolds, Evolution Equations and Control Theory, 14 (2025), 1141-1166.
29. Interplay of geometric constraint and bonding force in the emergent behavior of relativistic Cucker-Smale flocks, (with Junhyeok Byeon, Seung-Yeal Ha and Jaeyoung Yoon) Advances in Differential Equations, 30 (2025), 269-314.
28. Flocking dynamics of agents moving with a constant speed and a randomly switching topology, (with Woojoo Shim) European Journal of Applied Mathematics, 36 (2025), 419-447.
27. Global-in-time discrete approximation of the Cucker-Smale model with a unit-speed constraint, (with Jeong Seok Han and Woojoo Shim) Journal of Statistical Physics, 192 (2025), https://doi.org/10.1007/s10955-025-03397-x.
26. Asymptotic tracking of target clouds under uncertain communications, (with Seung-Yeal Ha) Kinetic and Related Models, 18 (2025), 463–498.
25. Collision avoidance for second-order consensus models through controls on Riemannian manifolds, (with Junhyeok Byeon) Journal of Mathematical Analysis and Applications, 545 (2025), 129215.
24. Emergent behaviors of relativistic flocks with adaptive coupling laws, Journal of Mathematical Physics, 65 (2024), 112701.
23. Interplay of a unit-speed constraint and time-delay in the flocking model with internal variables, (with Woojoo Shim) Networks and Heterogeneous Media, 19 (2024), 1182-1230.
22. On the multi-cluster flocking of the fractional Cucker-Smale model, Mathematics in Engineering, 6 (2024), 607-647.
21. Finite-time flocking of uncountable agents, Chaos, Solitons and Fractals, 185 (2024), 115107.
20. Finite-in-time flocking of the thermodynamic Cucker-Smale model, (with Se Eun Noh) Networks and Heterogeneous Media, 19 (2024), 526-546.
19. On the alternating target tracking of a point cloud on Riemannian manifolds, (with Seung-Yeal Ha) Chaos: An Interdisciplinary Journal of Nonlinear Science, 34 (2024), 053122.
18. Collective behaviors of second-order nonlinear consensus models with a bonding force, (with Junhyeok Byeon, Seung-Yeal Ha and Jaeyoung Yoon) Journal of the Korean Mathematical Society, 61 (2024), 565-602.
17. A mean-field approach for the asymptotic tracking problem of moving continuum target clouds, (with Seung-Yeal Ha) Studies in Applied Mathematics, 152 (2024), 568-595.
16. Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker-Smale model, (with Junhyeok Byeon and Seung-Yeal Ha) Chaos: An Interdisciplinary Journal of Nonlinear Science, 33 (2023), 123132.
15. Collective dynamics of various Cucker-Smale type models with a fractional derivative, (with Myeongju Kang) Mathematical Biosciences and Engineering, 20 (2023), 17949-17985.
14. Asymptotic tracking of a point cloud moving on Riemannian manifolds, (with Junhyeok Byeon, Seung-Yeal Ha and Jaeyoung Yoon) SIAM Journal on Control and Optimization, 61 (2023), 2379-2406.
13. Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker-Smale model with a unit-speed constraint, Networks and Heterogeneous Media, 18 (2023), 1493-1527.
12. Emergent behaviors of thermodynamic Cucker-Smale ensemble with a unit-speed constraint, Discrete and Continuous Dynamical systems Series B, 28 (2023), 4800-4825.
11. Emergent dynamics of relativistic flocks on the unit sphere and the hyperboloid in a bonding field, (with Junhyeok Byeon, Seung-Yeal Ha and Jaeyoung Yoon) Journal of Mathematical Physics, 64 (2023), 012705.
10. Asymptotic flocking of the relativistic Cucker-Smale model with time delay, Networks and Heterogeneous Media, 18 (2023), 29-47.
9. Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model, (with Chan Ho Min, Seung-Yeal Ha and Myeongju Kang) Kinetic and Related Models, 16 (2023), 97-132.
8. Nonrelativistic limits of the relativistic Cucker-Smale model and its kinetic counterpart, (with Seung-Yeal Ha and Jeongho Kim) Journal of Mathematical Physics, 63 (2022), 082701.
7. Uniform stability of Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels, Networks and Heterogeneous Media, 17 (2022), 753-782.
6. The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds, (with Seung-Yeal Ha, Doheon Kim, Franz Wilhelm Schlöder and Woojoo Shim) Quarterly of Applied Mathematics, 80 (2022), 403-450.
5. Emergent behaviors of the discrete thermodynamic Cucker-Smale model on Riemannian manifolds, (with Seung-Yeal Ha and Woojoo Shim) Journal of Mathematical Physics, 62 (2021), 122701.
4. Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit, (with Seung-Yeal Ha and Jeongho Kim) Communications on Pure and Applied Analysis, 20 (2021), 4209-4237.
3. Emergent behaviors of relativistic flocks on Riemannian manifolds, (with Seung-Yeal Ha, Myeongju Kang and Woojoo Shim) Physica D, 427 (2021), 133011.
2. Emergent behaviors of Cucker-Smale flocks on the hyperboloid, (with Seung-Yeal Ha, Woojoo Shim and Hansol Park) Journal of Mathematical Physics, 62 (2021), 082702.
1. Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds, (with Seung-Yeal Ha and Woojoo Shim) Kinetic and Related Models, 14 (2021), 323-351.