DYNAMICS OF A DISCRETE-TIME MODEL OF AN "IDEAL-STORAGE" SYSTEM DESCRIBING HETERO-CATALYTIC PROCESSES ON METAL SURFACES

Abstract

In this paper, we analyze a rather simple system in which some substance is being stored, released, and replenished simultaneously in some interdependent way. We investigate the dynamic behavior of such a system, using a two-dimensional map-based discrete-time model, and derive an integrated dynamical scene for this model. More specifically, we show the existence of an invariant curve induced by the well-known Neimark–Sacker bifurcation corresponding to the presence of a periodically oscillating behavior in this model.