催化反应中的Hopf分岔现象
Hopf Bifurcation Phenomenon in Catalytic Reaction
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摘要: 本文讨论催化反应的局部温度波动(Flickering)现象中的Hopf分岔点受周期小扰动的影响。得到的结果可望为反应参数的选择提供依据。Abstract: 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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