Special Session 138: Recent advances in Fractal Geometry, Dynamical Systems, and Positive Operators

Various Notions of Shadowing in Triangular Map

DEEPANSHU DHAWAN
INDIAN INSTITUTE OF TECHNOLOGY JODHPUR
India
Co-Author(s):    Dr. Puneet Sharma
Abstract:
In this talk, we will discuss various forms of shadowing for a general triangular system. In particular, we will relate various notions of shadowing for a triangular system with various notions of shadowing in the component systems. Furthermore, we will explore chain transitivity and chain mixing for a general triangular system. In addition, we investigate the connection between the dynamics of the non-autonomous component systems in a triangular system and also provide examples to demonstrate the necessity of the conditions imposed.