Bifurcation Theory of a Class of Perturbed Mappings

摘要

Bifurcation theory for a class of perturbed mappingsis presented. This class describes perturbed systems such as periodically driven Digital Phase Locked Loops and the aim of this paper is to analyze its bifurcation structure in complete generality. This bifurcation structure is discussed in relation to that of the associated unperturbed system and comparisons are made between the two.