The present work is concerned with sensitivity of iterated function systems (IFSs). First of all, several sufficient conditions for sensitivity of IFSs are presented. Moreover, we introduce the concept of S-transitivity for IFSs which is relevant with sensitive dependence on initial condition. That yields to a different example of non-minimal sensitive system which is not an M-system. Also, some interesting examples are given which provide some facts about the sensitive property of IFSs
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1603.08243