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Complete set of Hopf bifurcation in an autocatalytic ring network

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Abstract

We investigate the Hopf bifurcation for a five species chemical ring network with an autocatalytic reaction. We show that the bifurcation hypersurface in the rate constants space is the boundary of a simply connected set. We use a numerical method to calculate this hypersurface.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Viçosa, 36570-000 Viçosa, Brazil

    F. M. C. Vieira

  2. Instituto de Biofísica “Carlos Chagas Filho”, Universidade Federal do Rio de Janeiro, CCS- Bloco G, 22941-900 Rio de Janeiro, Brazil

    P. M. Bisch

  3. Centro Brasileiro de Pesguisas Físicas, Rua Xavier Sigaud 150, 22290 Rio de Janeiro, Brazil

    F. M. C. Vieira & P. M. Bisch

Authors
  1. F. M. C. Vieira
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  2. P. M. Bisch
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Vieira, F.M.C., Bisch, P.M. Complete set of Hopf bifurcation in an autocatalytic ring network. J Math Chem 17, 55–67 (1995). https://doi.org/10.1007/BF01165137

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  • DOI: https://doi.org/10.1007/BF01165137

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