slow/fast oscillators. We focus on the existence and properties of a folded singularity, called folded saddle node of type II (FSN II), that allows the emergence of MMOs in the presence of a suitable global return mechanism. In a series of previous papers, [1,2,3, ... For instance, the backstopping synchronization method [11], the hybrid adaptive synchronization approach [12], the graph-theoretic synchronization technique [13], impulsive type synchronization approach [14] and pinning impulsive synchronization [15] for PDEs have been proposed. Normandie, France. More recently, however, Krupa et al. Bibliothèque universitaire - UNIVERSITÉ LE HAVRE NORMANDIE. janv. Beyond the brain: towards a mathematical modeling of emotions, On a coupled time-dependent sir models fitting with New York and New-Jersey states COVID-19 data, Simulating brain rhythms using an ODE with stochastically varying coefficients, On a coupled time-dependent SIR models fitting with New York and New-Jersey states COVID-19 data, Generalized traveling waves for time-dependent reaction–diffusion systems, Emergent Properties in a V1 Network of Hodgkin-Huxley Neurons, Qualitative Analysis of a Reaction-Diffusion System with cubic Nonlinearity, Large time behaviour and synchronization of complex networks of reaction–diffusion systems of FitzHugh–Nagumo type, Canard Phenomenon in a Slow-Fast modified Leslie-Gower model, A network model for control of dengue epidemic using sterile insect technique, Canard Phenomenon in a modified Slow-Fast Leslie-Gower and Holling type scheme model, Propagation of Bursting Oscillations in Coupled Non-homogeneous Hodgkin–Huxley Reaction–Diffusion Systems, Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type, Basin of Attraction of Solutions with Pattern Formation in Slow–Fast Reaction–Diffusion Systems, Hopf Bifurcation in an Oscillatory-Excitable Reaction-Diffusion Model with Spatial Heterogeneity, Attractor and synchronization for a complex network of reaction-diffusion systems of FitzHugh-Nagumo type, Weakly coupled two-slow–two-fast systems, folded singularities and mixed mode oscillations, Synchronization and control of a network of coupled Reaction-Diffusion systems of generalized FitzHugh-Nagumo type*, Weakly coupled two slow- two fast systems, folded node and mixed mode

Lire la suite… [12], Samusenko [13], Mo [14], Das et al. Along with five other schools, the University of Le Havre is a member of Normandy University, an association of universities and higher education institutions. We show that this system displays a gl... ... Un nombre important de travaux (Hodgkin and Huxley, 1952 ;FitzHugh, 1961 ;Nagumo et al., 1962) décrit depuis plusieurs années des modèles relativement complets du fonctionnement d'un seul neurone.

Learn more about studying at Université du Havre including how it performs in QS rankings, the cost of tuition and further course information. We investigate a system of partial differential equations of reaction-diffusion type which displays propagation of bursting oscillations. In this paper, we consider networks of reaction–diffusion systems of Hodgkin–Huxley type.

As FSN II corresponds to a transcritical We prove the existence of a... We focus on the long time behavior of complex networks of reaction-diffusion We prove the existence of the global attractor and the L∞bound for networks of n reaction-diffusion systems that belong to a class that generalizes the FitzHugh-Nagumo reaction-diffusion equations. System (4) can be seen as a toy example of a class of reaction-diffusion (RD) systems of FitzHugh-Nagumo (FHN) type that was studied previously by the author, see for example [1, International Journal of Bifurcation and Chaos (1), Computers & Mathematics with Applications (1). These results extend a previous work in which we considered particular systems of FitzHugh Nagumo type. $L^{\infty}$-bound for a network of $n$ RD systems with $d$ variables each. D'autres recherches visent actuellement à com- prendre les mécanismes d'émergence issus des interactions entre plusieurs neurones, ... on the domain ]0, 1[ with Neumann Boundary conditions. a suitable global return mechanism. Many approximate methods have been improved, such as Graef and Kong [8], Hovhannisyan and Vulanovic [9], Bonfoh et al. [10], Barbu and Cosma [11], Faye et al.