Zobrazeno 1 - 10
of 401
pro vyhledávání: '"Chitour, Yacine"'
In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the $L^p$ framework, with $p\in [1,\infty)$. We start by addressing the well-posedness problem. We prove the existence an
Externí odkaz:
http://arxiv.org/abs/2406.12085
In this paper, we present an intrinsic derivation of the equations ruling the dynamics motion of a snake robot dynamics. Based on a Cosserat beam model, we first show that the extended configuration space is a Lie group. Endowing it with an appropria
Externí odkaz:
http://arxiv.org/abs/2402.13367
This paper focuses on the modeling of experiments conducted by Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an Amari-type neural field that models the average membrane potential of neur
Externí odkaz:
http://arxiv.org/abs/2401.09108
Autor:
Fueyo, Sebastien, Chitour, Yacine
This paper proves a corona theorem for the algebra of Radon measures compactly supported in $\mathbb{R}_-$ and this result is applied to provide a necessary and sufficient Hautus--type frequency criterion for the $L^1$ exact controllability of linear
Externí odkaz:
http://arxiv.org/abs/2311.15915
This paper investigates the intricate connection between visual perception and the mathematical modeling of neural activity in the primary visual cortex (V1). The focus is on modeling the visual MacKay effect [D. M. MacKay, Nature, 180 (1957), pp. 84
Externí odkaz:
http://arxiv.org/abs/2311.07338
This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficie
Externí odkaz:
http://arxiv.org/abs/2310.04088
We establish the exponential decay of the solutions of the damped wave equations in one-dimensional space where the damping coefficient is a nowhere-vanishing function of space. The considered PDE is associated with several dynamic boundary condition
Externí odkaz:
http://arxiv.org/abs/2305.01969
Autor:
Chitour, Yacine, Nguyen, Hoai-Minh
We establish the decay of the solutions of the damped wave equations in one dimensional space for the Dirichlet, Neumann, and dynamic boundary conditions where the damping coefficient is a function of space and time. The analysis is based on the stud
Externí odkaz:
http://arxiv.org/abs/2212.09164
To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (Nature, 1957) and Billock and Tsou's experiments (PNAS, 2007). We use a
Externí odkaz:
http://arxiv.org/abs/2212.04827
Publikováno v:
Discrete Contin. Dyn. Syst., 49(3):3306--3337, 2023
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time $t$ is obtained as a linear combination of the control evaluated at time $t$ and of the state evaluat
Externí odkaz:
http://arxiv.org/abs/2210.13590