Propagation d'informations le long d'une ligne de transmission non linéaire structurée en super réseau et simulant un neurone myélinisé

Abstract : Non-linear systems are almostly described by partial differential equations that characterize them. We have some systems such as the chain of coupled pebdelums, the protein chain comprising molecules with hydrogen bonds, atomic lattice, and so on .These systems are most often characterized by anharmonic inter particulate interactions and and then immersed in deformable potential substrates. In addition to nonlinearity and dispersion, these other phenomena namely anharmonicity and deformability are responsible for certain properties of propagation of solitary waves such as (compactons, kinks and anti-kinks, peackons, ...etc) and also the ability of the systems to transmit a signal . We used the bifurcation method to plot the different phase portraits obtained . For various parameters of such systems , we have highlighted the influence of anharmonicity on transmissivity and bistability of the system: It appears that the amplitude of the input signal which produces bistability increases with anharmonicity and the bistability is delayed.To considering these important properties generated by such systems, it seemed interesting to buildin an electrical line characterized by the same equations of the system. By alternately doubling the capacitance of the capacitors of a section of this line, we have realised a super-lattice that simulates a myelinised neuron. The types of solitons we get from this line are better adapted to describe the electrical signal which characterizes the neuron impulse located in space with a compact support.
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Guy-Merlin Nkeumaleu. Propagation d'informations le long d'une ligne de transmission non linéaire structurée en super réseau et simulant un neurone myélinisé. Traitement du signal et de l'image [eess.SP]. Université Bourgogne Franche-Comté, 2019. Français. ⟨NNT : 2019UBFCK006⟩. ⟨tel-02155228⟩

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