Chaotic Phenomenon in Catalytic Reaction

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Liu Zheng-rong, Li Ji-bin, Lin Chang. Chaotic Phenomenon in Catalytic Reaction[J]. Applied Mathematics and Mechanics, 1986, 7(1): 43-49.

Citation:

Liu Zheng-rong, Li Ji-bin, Lin Chang. Chaotic Phenomenon in Catalytic Reaction[J]. Applied Mathematics and Mechanics, 1986, 7(1): 43-49.

Citation:

Liu Zheng-rong, Li Ji-bin, Lin Chang. Chaotic Phenomenon in Catalytic Reaction[J]. Applied Mathematics and Mechanics, 1986, 7(1): 43-49.

Abstract

In this pqper, Melnikov's method is used to discuss a kind of equation governed by flickering on catalytic wires (gauzes) and in chemical reactor. By analysis on mathematics, we point out flickering phenomenon described by this kind of system has chaotic behavior.

[1]	郝柏林,分叉、混沌、奇怪吸引子、湍流和其他,物理学进展,3, (1983),329-416.
[2]	朱照宣,非线性动力学中的浑沌现象,中国力学学会武汉会议文献,(1983).
[3]	Edward Ott, Strange attractors and chaotic motions of dynamical systems, Review of Morden Physics, 53(1981) 655-671.
[4]	Ervin M. A. and D. luss, Temperature fluctuations(flickering)of catalytic wires and gauzes-I Theoretical investigations, Chem. Eng. Sci, 27(1972),339-346.
[5]	Aris, R., The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Vol Ⅱ Clarendon Press, Oxford(1975).
[6]	Cohen, D. S. and S. Rosenblat, Flickering and thermal flicker waves on catalytic wires and ganzes and in chemical reactors, SIAM. J. Appl. Math, 39(1980) 463-473.
[7]	刘曾荣、林常,催化反应中Hopf分叉现象,应用数学与力学,5, 4(1984),535-541.
[8]	Guckenheimer. J. and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer-Verlag(1983).
[9]	Smale, S., Differentiable dynamical systems, Bull. Amer. Math. Soc, 73 (1967), 747-817.