Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Chossat, Pascal"'
In this article we present a biologically inspired model of activation of memory items in a sequence. Our model produces two types of sequences, corresponding to two different types of cerebral functions: activation of regular or irregular sequences.
Externí odkaz:
http://arxiv.org/abs/1904.12133
We study pseudo-simple heteroclinic cycles for a $\Gamma$-equivariant system in $R^4$ with finite $\Gamma\subset O(4)$, and their nearby dynamics. In particular, in a first step towards a full classification - analogous to that which exists already f
Externí odkaz:
http://arxiv.org/abs/1702.08731
Priming is the ability of the brain to more quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between the populations of the neurons coding for different stimuli. Other exper
Externí odkaz:
http://arxiv.org/abs/1611.03645
Autor:
Podvigina, Olga, Chossat, Pascal
Robust heteroclinic cycles in equivariant dynamical systems in R^4 have been a subject of intense scientific investigation because, unlike heteroclinic cycles in R^3, they can have an intricate geometric structure and complex asymptotic stability pro
Externí odkaz:
http://arxiv.org/abs/1509.07277
Autor:
Chossat, Pascal, Krupa, Martin
Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic pattern of th
Externí odkaz:
http://arxiv.org/abs/1411.3909
Autor:
Podvigina, Olga, Chossat, Pascal
In generic dynamical systems heteroclinic cycles are invariant sets of codimension at least one, but they can be structurally stable in systems which are equivariant under the action of a symmetry group, due to the existence of flow-invariant subspac
Externí odkaz:
http://arxiv.org/abs/1310.0298
Autor:
Chossat, Pascal, Faye, Grégory
We present an overview of pattern formation analysis for an analogue of the Swift-Hohenberg equation posed on the real hyperbolic space of dimension two, which we identify with the Poincar\'e disc D. Different types of patterns are considered: spatia
Externí odkaz:
http://arxiv.org/abs/1304.6005
Motivated by a model for the perception of textures by the visual cortex in primates, we analyse the bifurcation of periodic patterns for nonlinear equations describing the state of a system defined on the space of structure tensors, when these equat
Externí odkaz:
http://arxiv.org/abs/1007.2492
We study the neural field equations introduced by Chossat and Faugeras in their article to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1. The key entity, the structure tensor, intr
Externí odkaz:
http://arxiv.org/abs/1005.0510
Autor:
Chossat, Pascal, Beltrame, Philippe
The onset of convection for spherically invariant Rayleigh-B\'enard fluid flow is driven by marginal modes associated with spherical harmonics of a certain degree $\ell$, which depends upon the aspect ratio of the spherical shell. At certain critical
Externí odkaz:
http://arxiv.org/abs/0912.3709