The sequence {Fn} is called the iterated function system coming from the sequence f1, f2, f3, . . .; we abbreviate this to IFS. By Montel’s theorem (see for example [3]), the sequence Fn is a normal family, and every convergent subsequence converges uniformly on compact subsets of ∆ to a holomorphic function F . The limit functions F are called accumulation points. Therefore every accumulation ...

Abstract The present study aimed at discovering the practices and strategies autonomous EFL learners pursue in their endeavor to master English. It thus set out in the Iranian context, with 60 EFL learners, both autonomous and non-autonomous, as participants. The gathered data through a questionnaire and an interview were subjected to content and descriptive analysis. The results showed that bo...

Abstract The present study aimed at discovering the practices and strategies autonomous EFL learners pursue in their endeavor to master English. It thus set out in the Iranian context, with 60 EFL learners, both autonomous and non-autonomous, as participants. The gathered data through a questionnaire and an interview were subjected to content and descriptive analysis. The results showed that bo...

Nonlinear systems, defined by a system of ODE’s, usually contain nonlinear terms. Under some circumstances these terms can be locally approximated by linear factors and by discretization can be transformed in the sequence of (hyperbolic) Iterated Function Systems (IFS). Then, this IFS generate a unique attractor that uses as a kind of characteristic set that reflects the dynamics in the vicinit...

We introduce a Fourier based harmonic analysis for a class of discrete dynamical systems which arise from Iterated Function Systems. Our starting point is the following pair of special features of these systems. (1) We assume that a measurable space X comes with a finite-to-one endomorphism r : X → X which is onto but not one-to-one. (2) In the case of affine Iterated Function Systems (IFSs) in...