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Canard Phenomena in Oscillations of a Surface Oxidation Reaction

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Abstract

In this paper we investigate canard phenomena occurring in oscillations of a surface oxidation reaction which can be modeled by a three-dimensional singularly perturbed system of ordinary differential equations with two fast variables. By using asymptotic methods, we prove the existence of the maximal canard of the mentioned model, and provide sufficient conditions for the existence of stable canard cycles.

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Authors and Affiliations

  1. Department of Applied Mathematics, Donghua University, Shanghai 200051, P.R. China

    Feng Xie

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China

    Maoan Han & Weijiang Zhang

  3. Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, P.R. China

    Feng Xie & Weijiang Zhang

Authors
  1. Feng Xie
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  2. Maoan Han
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  3. Weijiang Zhang
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Correspondence to Feng Xie, Maoan Han or Weijiang Zhang.

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Xie, F., Han, M. & Zhang, W. Canard Phenomena in Oscillations of a Surface Oxidation Reaction. J Nonlinear Sci 15, 363–386 (2005). https://doi.org/10.1007/s00332-004-0669-y

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  • DOI: https://doi.org/10.1007/s00332-004-0669-y

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