Jin, Chunyin; Li, Shuangzhi Flocking of a thermodynamic Cucker-Smale model with local velocity interactions. (English) Zbl 07815362 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 632-649 (2024). MSC: 34A36 34D06 34E10 34K25 70E55 PDFBibTeX XMLCite \textit{C. Jin} and \textit{S. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 632--649 (2024; Zbl 07815362) Full Text: DOI
Auricchio, Ferdinando; Toscani, Giuseppe; Zanella, Mattia Trends to equilibrium for a nonlocal Fokker-Planck equation. (English) Zbl 07727120 Appl. Math. Lett. 145, Article ID 108746, 8 p. (2023). MSC: 35Q84 35Q70 93C85 70E60 35B40 35R60 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Appl. Math. Lett. 145, Article ID 108746, 8 p. (2023; Zbl 07727120) Full Text: DOI arXiv
Ko, Dongnam; Ha, Seung-Yeal; Lee, Euntaek; Shim, Woojoo Collective behaviors of stochastic agent-based models and applications to finance and optimization. (English) Zbl 1517.34078 Math. Models Methods Appl. Sci. 33, No. 7, 1373-1436 (2023). MSC: 34D05 34C15 60H10 70K20 92B25 PDFBibTeX XMLCite \textit{D. Ko} et al., Math. Models Methods Appl. Sci. 33, No. 7, 1373--1436 (2023; Zbl 1517.34078) Full Text: DOI
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases. (English) Zbl 1524.70067 Math. Models Methods Appl. Sci. 33, No. 5, 1053-1097 (2023). MSC: 70K70 34C15 34D06 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 33, No. 5, 1053--1097 (2023; Zbl 1524.70067) Full Text: DOI
Byeon, Junhyeok; Ha, Seung-Yeal; Park, Hansol Asymptotic interplay of states and adaptive coupling gains in the Lohe Hermitian sphere model. (English) Zbl 1513.70056 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6501-6538 (2022). MSC: 70G60 34D06 PDFBibTeX XMLCite \textit{J. Byeon} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6501--6538 (2022; Zbl 1513.70056) Full Text: DOI arXiv
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol Emergent behaviors of rotation matrix flocks. (English) Zbl 1513.70057 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1382-1425 (2022). MSC: 70G60 82C10 PDFBibTeX XMLCite \textit{R. C. Fetecau} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1382--1425 (2022; Zbl 1513.70057) Full Text: DOI arXiv
Mortier, Bert; Baelmans, Martine; Samaey, Giovanni A kinetic-diffusion asymptotic-preserving Monte Carlo algorithm for the Boltzmann-BGK model in the diffusive scaling. (English) Zbl 07511037 SIAM J. Sci. Comput. 44, No. 2, A720-A744 (2022). MSC: 65-XX 35-XX 45-XX 60-XX 70-XX 76-XX PDFBibTeX XMLCite \textit{B. Mortier} et al., SIAM J. Sci. Comput. 44, No. 2, A720--A744 (2022; Zbl 07511037) Full Text: DOI arXiv
Ha, Seung-Yeal; Ko, Dongnam; Shim, Woojoo; Yu, Hui Emergent behaviors of the Justh-Krishnaprasad model with uncertain communications. (English) Zbl 1513.70073 J. Differ. Equations 322, 38-70 (2022). MSC: 70K20 34D05 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., J. Differ. Equations 322, 38--70 (2022; Zbl 1513.70073) Full Text: DOI
Lang, Quanjun; Lu, Fei Learning interaction kernels in mean-field equations of first-order systems of interacting particles. (English) Zbl 07471652 SIAM J. Sci. Comput. 44, No. 1, A260-A285 (2022). MSC: 68T05 35R30 70F17 62M99 PDFBibTeX XMLCite \textit{Q. Lang} and \textit{F. Lu}, SIAM J. Sci. Comput. 44, No. 1, A260--A285 (2022; Zbl 07471652) Full Text: DOI arXiv
Park, Hansol Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics. (English) Zbl 1513.70058 Discrete Contin. Dyn. Syst. 42, No. 2, 707-735 (2022). MSC: 70G60 34D06 70F10 PDFBibTeX XMLCite \textit{H. Park}, Discrete Contin. Dyn. Syst. 42, No. 2, 707--735 (2022; Zbl 1513.70058) Full Text: DOI arXiv
Bae, Hyeong-Ohk; Ha, Seung-Yeal; Kang, Myeongju; Lim, Hyuncheul; Min, Chanho; Yoo, Jane A constrained consensus based optimization algorithm and its application to finance. (English) Zbl 1510.90208 Appl. Math. Comput. 416, Article ID 126726, 10 p. (2022). MSC: 90C26 65K10 70F10 90C90 91G60 PDFBibTeX XMLCite \textit{H.-O. Bae} et al., Appl. Math. Comput. 416, Article ID 126726, 10 p. (2022; Zbl 1510.90208) Full Text: DOI arXiv
Pinasco, Juan Pablo; Rodriguez Cartabia, Mauro; Saintier, Nicolas Interacting particles systems with delay and random delay differential equations. (English) Zbl 1481.34095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112524, 26 p. (2022). MSC: 34K50 34K05 82C22 35Q70 70F45 47N20 PDFBibTeX XMLCite \textit{J. P. Pinasco} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112524, 26 p. (2022; Zbl 1481.34095) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora Uniform-in-time continuum limit of the lattice winfree model and emergent dynamics. (English) Zbl 1513.70044 Kinet. Relat. Models 14, No. 6, 1003-1033 (2021). MSC: 70F10 92B25 35Q70 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Kinet. Relat. Models 14, No. 6, 1003--1033 (2021; Zbl 1513.70044) Full Text: DOI
Ha, Seung-Yeal; Park, Hansol Emergent behaviors in group ring flocks. (English) Zbl 1477.70024 Q. Appl. Math. 79, No. 4, 617-640 (2021). MSC: 70G60 34D06 70F10 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{H. Park}, Q. Appl. Math. 79, No. 4, 617--640 (2021; Zbl 1477.70024) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora Uniform-in-time continuum limit of the Winfree model on an infinite cylinder and emergent dynamics. (English) Zbl 1476.70066 SIAM J. Appl. Dyn. Syst. 20, No. 2, 1104-1134 (2021). MSC: 70F99 92B25 35Q70 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 1104--1134 (2021; Zbl 1476.70066) Full Text: DOI
Ahn, Hyunjin; Ha, Seung-Yeal; Park, Hansol; Shim, Woojoo Emergent behaviors of Cucker-Smale flocks on the hyperboloid. (English) Zbl 1479.82041 J. Math. Phys. 62, No. 8, Article ID 082702, 22 p. (2021). MSC: 82C22 35Q70 82C10 70H40 PDFBibTeX XMLCite \textit{H. Ahn} et al., J. Math. Phys. 62, No. 8, Article ID 082702, 22 p. (2021; Zbl 1479.82041) Full Text: DOI arXiv
Carrillo, José A.; Jin, Shi; Li, Lei; Zhu, Yuhua A consensus-based global optimization method for high dimensional machine learning problems. (English) Zbl 1480.60195 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S5, 22 p. (2021). MSC: 60H35 65K10 68T05 70F10 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S5, 22 p. (2021; Zbl 1480.60195) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora Collective behaviors of a Winfree ensemble on an infinite cylinder. (English) Zbl 1468.70008 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2749-2779 (2021). MSC: 70F99 92B25 35Q70 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2749--2779 (2021; Zbl 1468.70008) Full Text: DOI
Banda, M. K.; Herty, M.; Trimborn, T. Recent developments in controlled crowd dynamics. (English) Zbl 1490.93056 Gibelli, Livio (ed.), Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 133-157 (2020). MSC: 93C15 49N10 49N80 76E99 70F99 PDFBibTeX XMLCite \textit{M. K. Banda} et al., in: Crowd Dynamics, Volume 2. Theory, models, and applications. Cham: Birkhäuser. 133--157 (2020; Zbl 1490.93056) Full Text: DOI arXiv
Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan Density-induced consensus protocol. (English) Zbl 1476.70056 Math. Models Methods Appl. Sci. 30, No. 12, 2389-2415 (2020). MSC: 70F20 92D25 92D50 91D30 PDFBibTeX XMLCite \textit{P. Minakowski} et al., Math. Models Methods Appl. Sci. 30, No. 12, 2389--2415 (2020; Zbl 1476.70056) Full Text: DOI arXiv
Ha, Seung-Yeal; Li, Zhuchun; Zhang, Xiongtao On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. (English) Zbl 1458.34098 Math. Models Methods Appl. Sci. 30, No. 9, 1653-1703 (2020). MSC: 34D06 05C20 82C20 70F99 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 9, 1653--1703 (2020; Zbl 1458.34098) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Shim, Woojoo; Yu, Hui Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. (English) Zbl 1470.70030 Math. Models Methods Appl. Sci. 30, No. 4, 727-763 (2020). MSC: 70L05 70K20 34D05 60H10 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 4, 727--763 (2020; Zbl 1470.70030) Full Text: DOI
Allwright, Gwyneth; Lehner, Luis Towards the nonlinear regime in extensions to GR: assessing possible options. (English) Zbl 1476.83032 Classical Quantum Gravity 36, No. 8, Article ID 084001, 19 p. (2019). MSC: 83C35 85A25 70F10 93B45 PDFBibTeX XMLCite \textit{G. Allwright} and \textit{L. Lehner}, Classical Quantum Gravity 36, No. 8, Article ID 084001, 19 p. (2019; Zbl 1476.83032) Full Text: DOI arXiv
Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao Emergent behaviors of the swarmalator model for position-phase aggregation. (English) Zbl 1459.70030 Math. Models Methods Appl. Sci. 29, No. 12, 2225-2269 (2019). MSC: 70F10 34C15 34D06 37N25 92B25 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 29, No. 12, 2225--2269 (2019; Zbl 1459.70030) Full Text: DOI
Festa, Adriano; Tosin, Andrea; Wolfram, Marie-Therese Kinetic description of collision avoidance in pedestrian crowds by sidestepping. (English) Zbl 1405.35128 Kinet. Relat. Models 11, No. 3, 491-520 (2018). MSC: 35Q20 35Q70 90B20 91D10 70E55 92D50 PDFBibTeX XMLCite \textit{A. Festa} et al., Kinet. Relat. Models 11, No. 3, 491--520 (2018; Zbl 1405.35128) Full Text: DOI arXiv
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. (English) Zbl 1352.49005 Kinet. Relat. Models 10, No. 1, 117-140 (2017). MSC: 49J20 49N90 35Q20 70H20 35Q91 PDFBibTeX XMLCite \textit{M. Burger} et al., Kinet. Relat. Models 10, No. 1, 117--140 (2017; Zbl 1352.49005) Full Text: DOI arXiv