Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Razvan C. Fetecau"'
Publikováno v:
IEEE Transactions on Automatic Control. 68:486-493
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63984cbb601edbbb722295246a967a90
https://doi.org/10.1109/tac.2022.3140260
https://doi.org/10.1109/tac.2022.3140260
Autor:
Razvan C. Fetecau, Hansol Park
Publikováno v:
The Journal of Geometric Analysis. 33
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature. The equation models self-collective behaviour with intrinsic interactions that are modelled
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58e6c50c508bfa20959fcd6b4e0f3056
https://doi.org/10.1007/s12220-023-01282-1
https://doi.org/10.1007/s12220-023-01282-1
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:
Analysis and Applications. 19:965-1017
We investigate a model for collective behavior with intrinsic interactions on Riemannian manifolds. We establish the well-posedness of measure-valued solutions (defined via mass transport) on sphere, as well as investigate the mean-field particle app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c48c40bb468879da51f8184d59a804f
https://doi.org/10.1142/s0219530521500081
https://doi.org/10.1142/s0219530521500081
Autor:
Razvan C. Fetecau, Hansol Park
Publikováno v:
Physica D: Nonlinear Phenomena. 446:133670
We study an intrinsic model for collective behaviour on the hyperbolic space $\bbh^\dm$. We investigate the equilibria of the aggregation equation (or equivalently, the critical points of the associated interaction energy) for interaction potentials
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b986bd2e261a555cf208dc4b0374e9ab
https://doi.org/10.1016/j.physd.2023.133670
https://doi.org/10.1016/j.physd.2023.133670
Autor:
Daniel A. Messenger, Razvan C. Fetecau
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 30:805-845
We investigate the effect of linear diffusion and interactions with the domain boundary on swarm equilibria by analyzing critical points of the associated energy functional. Through this process we uncover two properties of energy minimization that d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::703a800bc74043d9e31f22fedcef4430
https://doi.org/10.1142/s0218202520400059
https://doi.org/10.1142/s0218202520400059
Autor:
Razvan C. Fetecau, Beril Zhang
Publikováno v:
Journal of Geometric Mechanics. 11:397-426
We consider an aggregation model that consists of an active transport equation for the macroscopic population density, where the velocity has a nonlocal functional dependence on the density, modelled via an interaction potential. We set up the model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70d09de1116c16eb59c5b71ead339b86
https://doi.org/10.3934/jgm.2019020
https://doi.org/10.3934/jgm.2019020
We investigate an aggregation model with intrinsic interactions on the special orthogonal group $SO(3)$. We consider a smooth interaction potential that depends on the squared intrinsic distance, and establish local and global existence of measure-va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3db3b6323b616d21f6d77fe59794b7fe
Publikováno v:
Networks & Heterogeneous Media. 12:59-92
We study heterogeneous interactions in a time-continuous bounded confidence model for opinion formation. The key new modelling aspects are to distinguish between open-minded and closed-minded behaviour and to include an open-mindedness social norm. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e663c4b18c57eb9fbc738cf120919f46
https://doi.org/10.3934/nhm.2017003
https://doi.org/10.3934/nhm.2017003
Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges need to be addressed: coordination and safety. For coordination, we p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::698933ec97fd7b313b52291206baadaa