Zobrazeno 1 - 10
of 423
pro vyhledávání: '"Seung-Yeal Ha"'
Autor:
Seung-Yeal Ha, Dohyun Kim
Publikováno v:
Journal of Differential Equations. 364:181-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f5d9b5d8dea9f24cfcc3ec8de43cb51
https://doi.org/10.1016/j.jde.2023.03.037
https://doi.org/10.1016/j.jde.2023.03.037
Publikováno v:
Journal of Differential Equations. 360:523-571
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46e8d16570e680c1b1598a795d8b92f2
https://doi.org/10.1016/j.jde.2023.03.047
https://doi.org/10.1016/j.jde.2023.03.047
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 33:1373-1436
In this paper, we present a survey of recent progress on the emergent behaviors of stochastic particle models which arise from the modeling of collective dynamics. Collective dynamics of interacting autonomous agents is ubiquitous in nature, and it c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfb615a2c60723ef68bfe98251c96ee1
https://doi.org/10.1142/s021820252350032x
https://doi.org/10.1142/s021820252350032x
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 33:1053-1097
We study fast and slow clustering dynamics of Cucker–Smale ensemble with internal phase dynamics via the Cucker–Smale–Kuramoto (in short, CSK) model. The CSK model describes the emergent dynamics of flocking particles with phase dynamics. It co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3e5291d07f7a0e60ce4e547e94f606a
https://doi.org/10.1142/s0218202523500239
https://doi.org/10.1142/s0218202523500239
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:9783-9818
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fcf539523799256cd4fa40b81d81605
https://doi.org/10.1002/mma.9086
https://doi.org/10.1002/mma.9086
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 21:1382-1425
We derive an explicit form for the Cucker-Smale (CS) model on the special orthogonal group $\mathrm{SO}(3)$ by identifying closed form expressions for geometric quantities such as covariant derivative and parallel transport in exponential coordinates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74725224f435dbdc1c2b1a75c9cee272
https://doi.org/10.1137/21m1404569
https://doi.org/10.1137/21m1404569
Publikováno v:
Journal of Differential Equations. 322:38-70
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ac52cd27843723bbd28251d885f219a
https://doi.org/10.1016/j.jde.2022.03.020
https://doi.org/10.1016/j.jde.2022.03.020
Publikováno v:
Acta Applicandae Mathematicae. 185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf714a4ef9531da109ce1095fe9f5015
https://doi.org/10.1007/s10440-023-00571-9
https://doi.org/10.1007/s10440-023-00571-9
Publikováno v:
Quarterly of Applied Mathematics. 80:669-699
We study the asymptotic emergent dynamics and the continuum limit for the Schrödinger-Lohe (SL) model and semi-discrete SL model. For the SL model, emergent dynamics has been mostly studied for systems with identical potentials in literature. In thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d337e4cb89c040922fe8b5c177c354a
https://doi.org/10.1090/qam/1623
https://doi.org/10.1090/qam/1623
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 32:533-617
We study a consensus-based method for minimizing a nonconvex function over the Stiefel manifold. The consensus dynamics consists of stochastic differential equations for interacting particle system, whose trajectory is guaranteed to stay on the Stief
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9c497ecdfb546f73b48453787934e3a
https://doi.org/10.1142/s0218202522500130
https://doi.org/10.1142/s0218202522500130