Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Pascal Chossat"'
Publikováno v:
PLoS ONE, Vol 15, Iss 4, p e0231165 (2020)
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:
https://doaj.org/article/8584d9a2b3464f8c85459add382aec99
Publikováno v:
PLoS ONE, Vol 12, Iss 8, p e0183710 (2017)
Prediction is the ability of the brain to 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, and other exp
Externí odkaz:
https://doaj.org/article/a561cdca34f746a788b1041336cb9fc9
Autor:
Pascal Chossat, Olivier Faugeras
Publikováno v:
PLoS Computational Biology, Vol 5, Iss 12, p e1000625 (2009)
We propose to use bifurcation theory and pattern formation as theoretical probes for various hypotheses about the neural organization of the brain. This allows us to make predictions about the kinds of patterns that should be observed in the activity
Externí odkaz:
https://doaj.org/article/c151eb0721ed40459a956d64166b873c
Publikováno v:
Journal of Computational Neuroscience
Journal of Computational Neuroscience, 2022, 50 (4), pp.537-557. ⟨10.1007/s10827-022-00830-y⟩
Journal of Computational Neuroscience, 2022, 50 (4), pp.537-557. ⟨10.1007/s10827-022-00830-y⟩
International audience; An important function of the brain is to predict which stimulus is likely to occur based on the perceived cues. The present research studied the branching behavior of a computational network model of populations of excitatory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fec319eab5168671abf41912a3b924d3
https://inria.hal.science/hal-03532787/document
https://inria.hal.science/hal-03532787/document
Publikováno v:
Physica D: Nonlinear Phenomena. 372:1-21
We study pseudo-simple heteroclinic cycles for a Γ -equivariant system in R 4 with finite Γ ⊂ O ( 4 ) , and their nearby dynamics. In particular, in a first step towards a full classification – analogous to that which exists already for the cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50cbbc83ea16d0df0cce299643a44663
https://doi.org/10.1016/j.physd.2018.01.008
https://doi.org/10.1016/j.physd.2018.01.008
Autor:
Pascal Chossat
Le conseiller scientifique de l'Ambassade de France en Inde, chercheur détaché au ministère des Affaires étrangères, est confronté à une énigme que sa curiosité l'incite à affronter malgré les mises en garde de ses collègues diplomates. U
Autor:
Pascal Chossat, Olga Podvigina
Publikováno v:
Journal of Nonlinear Science. 27:343-375
Robust heteroclinic cycles in equivariant dynamical systems in $${\mathbb R}^4$$ have been a subject of intense scientific investigation because, unlike heteroclinic cycles in $${\mathbb R}^3$$ , they can have an intricate geometric structure and com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::441abc117d2a6bfad04f92f11084fff5
https://doi.org/10.1007/s00332-016-9335-4
https://doi.org/10.1007/s00332-016-9335-4
Autor:
Maciej Krupa, Pascal Chossat
Publikováno v:
Dynamical Systems. 32:46-60
We review and extend the previous work where a model was introduced for Hopfield-type neural networks, which allows for the existence of heteroclinic dynamics between steady patterns. This dynamics is a mathematical model of periodic or aperiodic swi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c669fd1f38c0eb4105d7396d4227c1b9
https://doi.org/10.1080/14689367.2016.1188889
https://doi.org/10.1080/14689367.2016.1188889
Autor:
Pascal Chossat, Olga Podvigina
Publikováno v:
Nonlinearity. 28:901-926
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:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c4699d5881500f027895bbebf0b880b
https://doi.org/10.1088/0951-7715/28/4/901
https://doi.org/10.1088/0951-7715/28/4/901
Autor:
Grégory Faye, Pascal Chossat
Publikováno v:
Networks & Heterogeneous Media. 8:211-260
The primary visual cortex (V1) can be partitioned into fundamental domains or hypercolumns consisting of one set of orientation columns arranged around a singularity or ``pinwheel'' in the orientation preference map. A recent study on the specific pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5d3dd055b130ed0f0145ee6cbd8f4d9
https://doi.org/10.3934/nhm.2013.8.211
https://doi.org/10.3934/nhm.2013.8.211