Propagation of bursting oscillations

B Ambrosio, JP Françoise - Philosophical Transactions of …, 2009 - royalsocietypublishing.org
We investigate a system of partial differential equations of reaction–diffusion type which
displays propagation of bursting oscillations. This system represents the time evolution of an …

[PDF][PDF] Positive Solutions for Generalized p-Laplacian Systems with Uncoupled Boundary Conditions

YJ Zhang - Engineering Letters, 2023 - engineeringletters.com
We prove that under some assumptions on h and g, it is typical for generalized p-Laplacian
systems with uncoupled integral boundary conditions to exhibit intervals for λ and µ such …

[PDF][PDF] Global attractor of networks of n coupled reaction-diffusion systems of Hindmarsh-Rose Type

P Em - Engineering Letters, 2023 - engineeringletters.com
This paper focuses on the networks of n reactiondiffusion systems of the Hindmarsh-Rose
type. We prove the existence of the global attractor of these networks in the space (L2 (Ω)× …

Synchronization in complete networks of ordinary differential equations of FitzHugh-Nagumo type with nonlinear coupling

PVL Em - 2021 - dthujs.vn
Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This
paper studies the synchronization in a complete network consisting of n nodes. Each node is …

Attractor and synchronization for a complex network of reaction-diffusion systems of FitzHugh-Nagumo type

B Ambrosio, MA Aziz-Alaoui, VLE Phan - arXiv preprint arXiv:1504.07763, 2015 - arxiv.org
We focus on the long time behavior of complex networks of reaction-diffusion (RD) systems.
We prove the existence of the global attractor and a $ L^{\infty} $-bound for a network of $ n …

[PDF][PDF] Large time behavior of a complex network of reaction-diffusion systems of FitzHugh-Nagumo type

B Ambrosio, MA Aziz-Alaoui, VLE Phan - 2015 - lmah.univ-lehavre.fr
We focus on the long time behavior of complex networks of reactiondiffusion (RD) systems.
We prove the existence of the global attractor and a L∞-bound for a network of n RD …

[PDF][PDF] IDENTICAL SYNCHRONIZATION IN COMPLETE NETWORK OF ORDINARY DIFFERENTIAL EQUATIONS OF FITZHUGH-NAGUMO

PVL Em - JOURNAL OF SCIENCE - hdu.edu.vn
Synchronization is a ubiquitous feature in many natural systems and nonlinear science. In
this paper, the synchronization in complete network consisting of n nodes is studied. Each …

[PDF][PDF] Indentical synchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo

PVL Em - HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF …, 2018 - scholar.dlu.edu.vn
Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This
paper studies the synchronization in complete network consisting of n nodes. Each node is …

Analyse asymptotique de réseaux complexes de systèmes de réaction-diffusion

P Van Long Em - 2015 - theses.hal.science
Le fonctionnement d'un neurone, unité fondamentale du système nerveux, intéresse de
nombreuses disciplines scientifiques. Il existe ainsi des modèles mathématiques qui …

[PDF][PDF] Bifurcation de Hopf dans un système de Réaction-Diffusion issu des neurosciences

B Ambrosio - lmah.univ-lehavre.fr
On s' intéresse à un système d'EDP de type réaction-diffusion permettant d'obtenir une riche
variété de motifs (patterns) et phénomènes pertinents en physiologie: spirales, oscillations …