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Existence de résonances paramétriques dans des systèmes de transformation d’intérêt biologique

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Abstract

The study of systems exhibiting a band-pass function is completed for systems whose parameters are time-dependent. In the case of periodic parametric excitations, it is demonstrated that some systems can get into “resonance” for a particular frequency. By studying this problem, a new and probably fruitful approach of some rhythmic behaviours can be made.

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Bibliographie

  • Delattre, P. 1971.L’Évolution des Systèmes Moléculaires. Bases Théoriques. Applications à la Chimie et à la Biologie. Paris: Maloine.

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  • Hyver, C. 1973. “Réactions Chimiques Couplées Considérées en Tant que Filtres Passe-bande.”Bull. Math. Biol.,35, 319–337.

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  • Minorsky, N. 1962.Nonlinear Oscillations. Princeton, N.J.: Van Nostrand.

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Hyver, C. Existence de résonances paramétriques dans des systèmes de transformation d’intérêt biologique. Bltn Mathcal Biology 37, 1–9 (1975). https://doi.org/10.1007/BF02463487

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  • DOI: https://doi.org/10.1007/BF02463487

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