Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System

Abstract

The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the relationships between the non-autonomous discrete dynamical system in the original (crisp) system and its g-fuzzified system. More specially, for the considered non-autonomous discrete dynamical system, the relationship between transitivity, weakly mixing, periodic density, and sensitive dependence on initial conditions have been examined.

Keywords

• non-autonomous discrete dynamical system
• $g$-fuzzification
• zadeh's extension
• periodic density
• transitivity
• sensitive dependence on initial conditions