Stéphane Métens

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C. Huepe, L. S. Tuckerman, S. Métens, and M. E. Brachet Department of Engineering Sciences and Applied Mathematics, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, Boîte Postale 133, 91403 Orsay, France Laboratoire de Physique Théorique de la Matière(More)
C. Huepe,1 S. Métens,1 G. Dewel,2 P. Borckmans,2 and M. E. Brachet1 1Laboratoire de Physique Statistique de l’Ecole Normale Supérieure, associé au CNRS et aux Universités Paris 6 et 7, 24 Rue Lhomond, 75231 Paris Cedex 05, France 2Service de Chimie-Physique and Center for Nonlinear Phenomena and Complex Systems, CP 231, Université Libre de Bruxelles, 1050(More)
We describe the formation of spatial structures generated by diffusive instabilities in bistable systems. The coupling between the different spatial modes emanating from the two homogeneous steady states can then give rise to self-parametric instabilities favoring the occurrence of resonant rhombic or quasiperiodic structures such as superlattices or(More)
We study the modifications induced in the behavior of the quorum percolation model on neural networks with Gaussian in-degree by taking into account an uncorrelated Gaussian thresholds variability. We derive a mean-field approach and show its relevance by carrying out explicit Monte Carlo simulations. It turns out that such a disorder shifts the position of(More)
The concentration profiles along the feeding direction of a one side fed gel reactor are analyzed for the iodate-arsenous acid reaction. Multiplicity of inhomogeneous stationary solutions is derived. It is also shown that such profiles may undergo oscillatory bifurcations under long range activation conditions. The bifurcation diagram is analyzed using a(More)
We start from a continuous extension of a mean field approach of the quorum percolation model, accounting for the response of in vitro neuronal cultures, to carry out a normal form analysis of the critical behavior. We highlight the effects of nonlinearities associated with this mean field approach even in the close vicinity of the critical point.(More)
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