Liu Zheng-rong, Lin Chang. Hopf Bifurcation Phenomenon in Catalytic Reaction[J]. Applied Mathematics and Mechanics, 1984, 5(4): 535-540.
Citation: Liu Zheng-rong, Lin Chang. Hopf Bifurcation Phenomenon in Catalytic Reaction[J]. Applied Mathematics and Mechanics, 1984, 5(4): 535-540.

Hopf Bifurcation Phenomenon in Catalytic Reaction

  • Received Date: 1983-07-13
  • Publish Date: 1984-08-15
  • In this paper, we intend to discuss Hopf bifurcation phenomenon under the effect of the periddic small perturbation on local temperature fluctuations (flikeringiy) phenomenon of catalytic reaction. With the obtained results, we expect to provide basis for selecting reaction parameters.
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  • [1]
    Ervin, M. A. and D. Luss, Temperature fluctuations(flickering) of catalytic wires and gauzes-Ⅰ, Theoretical investigation, Chem. Eng. Soc., 27(1972), 339-346.
    [2]
    Aris, R., The Mathematical Tkeory of Diffusion and Reaction in Permeable Catalyts, Vol. Ⅱ, The Clareno Press, Oxford,(1975).
    [3]
    Cohen, D. S. and S. Rosenblat, F kering and thermal flicker waves on catalytic wires and gauzes in chemical re tions, SIAM, J. Appl. Math., 39(1980),463-474.
    [4]
    Rosenblat, S. and D. Si Cohen, Periodically perturbed bifurcation Ⅰ, Simple bifurcation, Studies in Appl. Math., 63,(1980), 1-23.
    [5]
    Rosenblat, S. and D. S. Cohen, Periodically perturbed bifurcation Ⅱ, Hopf bifurcation, Studies in Appl. Math., 64,(1981), 143-175.
    [6]
    Kath, W. L., Resonance in periodically perturbed Hopf bifurcation, Studies in Appl, Math., 65(1981), 95-112.
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