Discrete Dynamics in Nature and Society
Volume 5 (2000), Issue 3, Pages 149-245
doi:10.1155/S1026022600000492

Special issue on two-dimensional maps and chaotic synchronization

Abstract

In this paper the problem of chaos synchronization, and the related phenomena of riddling, blowout and on-off intermittency, are considered for discrete time competition models with identical competitors. The global properties which determine the different effects of riddling and blowout bifurcations are studied by the method of critical curves, a tool for the study of the global dynamical properties of two-dimensional noninvertible maps. These techniques are applied to the study of a dynamic market-share competition model.