• CHAOTIC MAPS IN TOPOLOGICAL DYNAMICAL SYSTEMS

Abstract

In this paper, we have worked out on some results about periodic points and eventually points and their orbits, which are very helpful in studying the chaos of dynamical system. This study includes the chaotic maps, the behavior of sensitive to initial conditions and sensitivity constants etc. In this paper many results have been proved regarding the dense orbit, topological transitivity and sensitivity constant. We also proved here that orbit of a periodic point are either equal or disjoint. We have proved the equality between orbit of point and orbit of a periodic point of the iterated functions. Some new concepts regarding supremum and infimum of periodic points of some functions have been