Excitable media store and transfer complicated ...
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
Excitable media store and transfer complicated information via topological defect motion
Auteur(s) :
Sudakow, Ivan [Auteur]
Vakulenko, Sergey [Auteur]
Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vakulenko, Sergey [Auteur]
Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
Communications in Nonlinear Science and Numerical Simulation
Pagination :
106844
Éditeur :
Elsevier
Date de publication :
2023-01
ISSN :
1007-5704
Mot(s)-clé(s) en anglais :
Excitable media
Chaos
Waves
Cells
Chaos
Waves
Cells
Discipline(s) HAL :
Informatique [cs]
Résumé en anglais : [en]
Excitable media are prevalent models for describing interesting effects in physical, chemical, and biological systems such as pattern formation, chaos, and wave propagation. In this manuscript, we propose a spatially ...
Lire la suite >Excitable media are prevalent models for describing interesting effects in physical, chemical, and biological systems such as pattern formation, chaos, and wave propagation. In this manuscript, we propose a spatially extended variant of the FitzHugh–Nagumo model that exhibits new effects. In this excitable medium, waves of new kinds propagate. We show that the time evolution of the medium state at the wavefronts is determined by complicated attractors which can be chaotic. The dimension of these attractors can be large and we can control the attractor structure by initial data and a few parameters. These waves are capable transfer complicated information given by a Turing machine or associative memory. We show that these waves are capable to perform cell differentiation creating complicated patterns.Lire moins >
Lire la suite >Excitable media are prevalent models for describing interesting effects in physical, chemical, and biological systems such as pattern formation, chaos, and wave propagation. In this manuscript, we propose a spatially extended variant of the FitzHugh–Nagumo model that exhibits new effects. In this excitable medium, waves of new kinds propagate. We show that the time evolution of the medium state at the wavefronts is determined by complicated attractors which can be chaotic. The dimension of these attractors can be large and we can control the attractor structure by initial data and a few parameters. These waves are capable transfer complicated information given by a Turing machine or associative memory. We show that these waves are capable to perform cell differentiation creating complicated patterns.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
Date de dépôt :
2025-01-24T12:21:10Z
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