Contribution du bruit aux phénomènes de résonance et à la propagation de l'information dans les réseaux électroniques non linéaires

Abstract : This manuscript presents research aiming to show possible positive effects of deterministic and stochastic perturbations on the responses of different nonlinear systems. To that end, both numerical and experimental studies were carried out on two kinds of structures : an elementary electronic FitzHugh-Nagumo oscillator and an electrical line developed by resistively coupling 45 elementary cells. In the first section, the elementary cell characterization was undertaken in a deterministic regime. In the presence of a bichromatic stimulus, it is shown that when the low frequency component is subthreshold, its detection can be maximized for an optimal magnitude of the second component thanks to vibrational resonance. Next, it is established that this resonance may be enhanced for specific frequencies of the second component ; this phenomenon is referred to as frequency resonance. Furthermore, white and colored noise sources effects on vibrational resonance are reported. Then, for any other bichromatic excitation configuration, attention was focused on ghost stochastic resonance. Contrary to the other phenomena introduced in this manuscript, this one differs in the fact that the frequency of interest in the system output is here not applied on the input. Finally, the last part of the manuscript is devoted to the study of the coupled structure. It is shown that information propagation through line cells can be enhanced by vibrational propagation and noise assisted propagation phenomena. These nonlinear effects respectively occur when the system is under a high frequency deterministic perturbation or a random noise source.
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Maxime Bordet. Contribution du bruit aux phénomènes de résonance et à la propagation de l'information dans les réseaux électroniques non linéaires. Electronique. Université de Bourgogne, 2015. Français. ⟨NNT : 2015DIJOS051⟩. ⟨tel-01278989⟩

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