7 papers · 1 filter
Bi-Asymptotic -Expansivity
Rohit Nageshwar, Abdul Gaffar Khan, Tarun Das
In this paper, we define bi-asymptotically -expansive maps on metric spaces and study its relationship with other variants of expansivity such as bi-asymptotically expansive map…
Stability Theorems in Pointwise Dynamics
Abdul Gaffar Khan, Tarun Das
We introduce minimally expansive and GH-stable points for homeomorphisms on metric spaces and -uniformly expansive, -shadowable and strong -topologically stable points for…
Pointwise dynamics under Orbital Convergence
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We obtain sufficient conditions under which the limit of a sequence of functions exhibits a particular dynamical behaviour at a point like expansivity, shadowing, mixing, sensitivi…
Topologically Stable Equicontinuous Non-Autonomous Systems
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We find sufficient conditions for commutative non-autonomous systems on certain metric spaces to be topologically stable. In particular, we prove that (i) Every mean equicontinuous…
Specification for Group Actions on Uniform Spaces
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We extend specification and periodic specification to finitely generated group actions on uniform spaces using a concept of specification point. We prove that certain group actions…
Measure Expansivity and Specification for Pointwise Dynamics
Pramod Das, Abdul Gaffar Khan, Tarun Das
We introduce pointwise measure expansivity for bi-measurable maps. We show through examples that this notion is weaker than measure expansivity. In spite of this fact, we show that…