Zobrazeno 1 - 10
of 214
pro vyhledávání: '"D'Ambrosio, B."'
Autor:
Ambrosio, B., Aziz-Alaoui, M. A., Mondal, Argha, Mondal, Arnab, Sharma, Sanjeev K., Upadhyay, Ranjit K.
In this article, we discuss the dynamics of the 3-dimensional FitzHugh-Rinzel (FHR) model and a class of non-homogeneous FitzHugh-Nagumo (Nh-FHN) Reaction-Diffusion systems. The Nh-FHN models can be used to generate relevant wave propagation phenomen
Externí odkaz:
http://arxiv.org/abs/2205.04311
Autor:
Ambrosio, B., Mintchev, S. M.
This article communicates results on regular depolarization cascades in periodically-kicked feedforward chains of excitable two-dimensional FitzHugh-Nagumo systems driven by sufficiently strong excitatory forcing at the front node. The study document
Externí odkaz:
http://arxiv.org/abs/2112.10503
Autor:
Ambrosio, B.1,2 (AUTHOR) aziz.alaoui@univ-lehavre.fr, Aziz-Alaoui, M. A.1 (AUTHOR), Oujbara, A.1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). May2024, Vol. 12 Issue 9, p1382. 14p.
Autor:
Ambrosio, B.
Emotions are a central key for understanding human beings and of fundamental importance regarding their impact in human and animal behaviors. They have been for a long time a subject of study for various scholars including in particular philosophers
Externí odkaz:
http://arxiv.org/abs/2009.04216
This article is devoted to the theoretical and numerical analysis of a network of excitatory and inhibitory neurons of Hodgkin-Huxley (HH) type, for which the topology is inspired by that of a single local layer of visual cortex V1. Our model is rela
Externí odkaz:
http://arxiv.org/abs/2004.10656
Akademický článek
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Akademický článek
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Geometrical Singular Perturbation Theory has been successful to investigate a broad range of biological problems with different time scales. The aim of this paper is to apply this theory to a predator-prey model of modified Leslie-Gower type for whic
Externí odkaz:
http://arxiv.org/abs/1703.09266
We consider networks of reaction-diffusion systems of Hodgkin-Huxley type. We give a general mathematical framework, in which we prove existence and unicity of solutions as well as existence of invariant regions and of the attractor. Then, we illustr
Externí odkaz:
http://arxiv.org/abs/1702.02517
Autor:
Ambrosio, B.
We focus on the qualitative analysis of a reaction-diffusion with spatial heterogeneity. The system is a generalization of the well known FitzHugh-Nagumo system in which the excitability parameter is space dependent. This heterogeneity allows to exhi
Externí odkaz:
http://arxiv.org/abs/1608.03967