Keywords: McKean-Vlasov stochastic processes; Long time behavior; Mean-field interaction; Volterra integral equation; Hopf

The long time behavior of the particles system (1) has been studied in [16, 22] (again in a slightly different setting but the methods could be adapted to our case): the authors

The unit has three fixed points and stable limit cycle corresponding to periodic spike train.. (b) Excitable dynamics of the

We study a family of non-linear McKean-Vlasov SDEs driven by a Poisson measure, modelling the mean-field asymptotic of a network of generalized Integrate-and-Fire neurons. We

This is an important health issue about which our col- leagues  should  be  well  informed,  and  the  review  con- tributes  substantially  to  this  end. 

Our model keeps track of individual interacting neurons dynamics but also preserves some of the features and goals of neural …eld dynamics, such as indexing a large number of neurons

Les résultats de cette enquête intéressent tous les services statistiques ministériels (SSM) couvrant le système productif (SDES pour le secteur des transports et de la

Another approach for the study of the network dynamical behavior is based on a direct numerical evaluation of solutions of the (stochastic) coupled differential equations (38)–(40).

tions d’octroi d’un complément d’entreprise dans le cadre du régime de chô- mage avec complément d’entreprise pour certains travailleurs âgés licenciés qui ont travaillé

Infinite systems of interacting processes with memory of variable length in discrete time We introduce a new class of stochastic processes, both in discrete and in continuous

Le hapitre 2 porte sur les plans d'exp erien e dont nous nous servons pour hoisir d'une mani ere judi ieuse les ouples utilis es au ours de l'apprentissage du r eseau.. Apr

Nelson Mandela ensured that a peaceful transition between apartheid and democracy took place in South Africa’s first democratic elections in April 1994 although

The variation of velocity with depth is given in terms of parameters a and b, and the elliptical anisotropy is given in terms of parameter X· An analytical

The interaction between CAN-mediated persistent firing and synaptic activity allow for the emergence of self-sustained synchronous theta oscillations in the CAN pyramidal

Entre deux lampes de même tension nominale, celle dont l’intensité nominale est la plus grande brille plus (elle est plus puissante).

Despite analytic solutions for the mean field dynamics has already been proposed for current based neurons (CUBA), a complete analytic description has not been achieved yet for

many versions since inputs and outputs can be considered with different structures (topologies): discrete and continuous (as prefixes of infinite sequences): this gives four

In this paper, a hybrid model of cellular neural network based on het- erogeneous spiking neurons connected with a spatial model of terrain through hierarchically ordered