30 citations · 60 across the 13 of their papers we have counts for
13 papers
Deterministic Computing Mechanism for Perfect Density Classification
Suryakanta Pal, Sudhakar Sahoo, Birendra Kumar Nayak
The purpose of the present study is to search one-dimensional Cellular Automata (CA) rules which will solve the density classification task (DCT) perfectly. The mathematical analys…
Cellular Automata Rules and Linear Numbers
Birendra Kumar Nayak, Sudhakar Sahoo, Sagarika Biswal
In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules ar…
Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application
Sk. S. Hassan, P. Pal Choudhury, B. K. Nayak +2
In this paper, the notion of Integral Value Transformations (IVTs), a class of Discrete Dynamical Maps has been introduced. Then notion of Affine Discrete Dynamical System (ADDS) i…
Properties of Carry Value Transformation
Suryakanta Pal, Sudhakar Sahoo, Birendra Kumar Nayak
The notion of Carry Value Transformation (CVT) is a model of Discrete Deterministic Dynamical System. In this paper, we have studied some interesting properties of CVT and proved t…
Integral Value Transformations: A Class of Discrete Dynamical Systems
Sk. S. Hassan, A. Roy, P. Pal. Choudhury +1
Here the Integral Value Transformations (IVTs) are considered to be Discrete Dynamical System map in the space\mathbb{N}_(0). In this paper, the dynamics of IVTs is deciphered thro…
One Dimensional p-adic Integral Value Transformations
Sk. S. Hassan, A. Roy, P. Pal Choudhury +1
In this paper, a set of transformations T^(p,k) is defined on N_0^K to N_0. Some basic and naïve mathematical structure of T^(p,1) are adumbrated and introduced the concept of disc…