Title
Relationship of Two Discrete Dynamical Models: One-Dimensional Cellular Automata and Integral Value Transformations.
Abstract
Cellular Automaton (CA) and an Integral Value Transformation (IVT) are two well established mathematical models which evolve in discrete time steps. Theoretically, studies on CA suggest that CA is capable of producing a great variety of evolution patterns. However computation of non-linear CA or higher dimensional CA maybe complex, whereas IVTs can be manipulated easily. The main purpose of this paper is to study the link between a transition function of a one-dimensional CA and IVTs. Mathematically, we have also established the algebraic structures of a set of transition functions of a one-dimensional CA as well as that of a set of IVTs using binary operations. Also DNA sequence evolution has been modelled using IVTs.
Year
DOI
Venue
2022
10.1007/978-981-19-0542-1_7
Asian Symposium on Cellular Automata Technology (ASCAT)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Sreeya Ghosh100.34
Sudhakar Sahoo25113.13
Sk. Sarif Hassan300.34
Jayanta Kumar Das411.36
Pabitra Pal Choudhury56928.27