Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Shim, Woojoo"'
We propose an infinite Kuramoto model for a countably infinite set of Kuramoto oscillators and study its emergent dynamics for two classes of network topologies. For a class of symmetric and row(or column)-summable network topology, we show that a ho
Externí odkaz:
http://arxiv.org/abs/2309.16538
We introduce a higher simplicial generalization of the linear consensus model which shares several common features. The well-known linear consensus model is a gradient flow with a sum of squares of distances between each pair of points. Our newly sug
Externí odkaz:
http://arxiv.org/abs/2211.13001
Autor:
Santambrogio, Filippo, Shim, Woojoo
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference between their own velocity and that of the other agents they meet. We pr
Externí odkaz:
http://arxiv.org/abs/2009.07519
We study emergent behaviors of Cucker-Smale(CS) flocks on the hyperboloid $\mathbb{H}^d$ in any dimensions. In a recent work \cite{H-H-K-K-M}, a first-order aggregation model on the hyperboloid was proposed and its emergent dynamics was analyzed in t
Externí odkaz:
http://arxiv.org/abs/2007.02556
The temporal evolution of Kuramoto oscillators influenced by the temperature field often appears in biological oscillator ensembles. In this paper, we propose a generalized Kuramoto type lattice model on a regular ring lattice with the equal spacing
Externí odkaz:
http://arxiv.org/abs/2003.12994
Publikováno v:
In Journal of Differential Equations 15 June 2022 322:38-70
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Publikováno v:
In Physica D: Nonlinear Phenomena December 2021 427
Publikováno v:
In Journal of Differential Equations 5 November 2021 300:519-564
Publikováno v:
In Journal of Differential Equations 5 January 2020 268(2):636-679