1Department of Mathematics, Ch. Devi Lal University, Sirsa-125055 (India), E-mail: jangirbabu29@rediffmail.com
2Department of Mathematics, Ch. Devi Lal University, Sirsa-125055 (India), miglaniaseem@rediffmail.com
3Department of Mathematics, DDE GJUS&T, Hisar-125001 (India), vsihag3@gmail.com
Online published on 20 September, 2023.
In the present paper, we find out a few results based on acceptable topology, discrete topology, hausdorff topology, topological transitivity, orbit of a point and dense orbit. We have proved some more results using compact topological spaces and Hausdorff metric spaces. We have also introduced some new terms like topological transitivity, sensitive, dynamical system for compact sets and sensitive dependence on initial conditions (SDIC) and same results based on metric topology.
Sensitive dependence on initial conditions, Chaos, Metric topology, Dynamical systems
