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A multivibrating switching network in homogeneous kinetics

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Abstract

On the basis of an abstract, simple bistable reaction system (‘homogeneous Eccles-Jordan trigger’) used as anRS flip-flop, an abstract homogeneousastable flip-flop is devised. It can be run also as amonostable flip-flop and as aT flip-flop. The qualitative behavior of the three systems can be understood, in the limiting case, with the aid of Poincaré's notion of bifurcation of steady states. The reaction system is proposed as a paradigm for a specific class of ‘decomposable’ chemical and dynamical systems (so-called DC-type dynamical automata). Two possible biological applications are mentioned.

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  1. Division of Theoretical Chemistry, University of Tübingen, Tübingen, W. Germany

    Otto E. Rössler

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Rössler, O.E. A multivibrating switching network in homogeneous kinetics. Bltn Mathcal Biology 37, 181–192 (1975). https://doi.org/10.1007/BF02470623

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  • DOI: https://doi.org/10.1007/BF02470623

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