| Abstract: | We construct and study a distributed mathematical model of oxidation ofCO in a planar layer of aPd zeolite catalyst. The model is a system of ordinary differential equations describing a chain of locally connected chemical
oscillators. Each oscillator is an oscillatory process of the reaction occurring in the corresponding layer of zeolite. The
peculiarity of this chain system is that the connection between the oscillators is parametric, since it is implemented through
diffusion ofCO in the gaseous phase. We find conditions for existence and uniqueness of various types of oscillations in the system, including
synchronous, quasi-periodic, and chaotic. We construct the phase diagram on the plane of two external parameters and give
a bifurcation analysis, studying the scenario of transition to chaos. Two tables, 12 figures. Bibliography: 15 titles.
Translated fromProblemy Matematicheskoi Fiziki, 1998, pp. 113–132. |
