0000000001026069
AUTHOR
Gaëtan Lassere
showing 3 related works from this author
Electronic implementation of a non-linear oscillator subjected to noise : application to the modeling of neuronal information coding
2011
We study the nonlinear FitzHugh-Nagumo model witch describes the dynamics of excitable neural element. It is well known that this system exhibits three different possible responses. Indeed, the system can be mono-stable, oscillatory or bistable. In the oscillatory regime, the system periodically responds by generating action potential. By contrast, in the mono-stable state the system response remains constant after a transient. Under certain conditions, the system can undergo a bifurcation between the stable and the oscillatory regime via the so called Andronov-Hopf bifurcation. In this Phd thesis, we consider the FitzHugh-Nagumo model in the stable state, that is set near the Andronov-Hopf…
A comparative study of noise effects in a FitzHugh-Nagumo circuit
2014
International audience; This paper focuses on the behaviour of a nonlinear FitzHugh-Nagumo circuit in the stochastic case that is in presence of noise and without deterministic driving. When the circuit is tuned below the Andronov-Hopf bifurcation, classical coherence res- onance signature is revealed. We compare the stochastic response of the system when the noise acts on two different parameters of the system. It is experimentally shown that an enhancement of the systems response can be achieved when the noise is directly added into the nonlinearity.
La résonance cohérente : amélioration de la régularité de la réponse d’un système non linéaire par le bruit
2015
National audience; Cette communication est consacrée à l’étude expérimentale du comportement d’un circuit électronique non linéaire du type FitzHugh-Nagumo soumis exclusivement à du bruit. En l’absence de bruit, le circuit est paramétré en mode excitable près de la bifurcation d’Andronov-Hopf. Cette dernière se manifeste par un changement du fonctionnement du circuit qui devient oscillant. Nous montrons que le circuit peut utiliser le bruit pour déclencher des ondes du type potentiels d’action. Ce déclenchement atteint une régularité qui peut être maximisée pour une quantité appropriée de bruit via le phénomène de Résonance Cohérente.