1 research outputs found
Two Dimensional Discrete Dynamics of Integral Value Transformations
A notion of dimension preservative map, \textit{Integral Value
Transformations} (IVTs) is defined over using the set of
-adic functions. Thereafter, two dimensional \textit{Integral Value
Transformations} (IVTs) is systematically analyzed over using pair of two variable Boolean functions. The dynamics of IVTs
over is studied from algebraic
perspective. It is seen that the dynamics of the IVTs solely depends on the
dynamics (state transition diagram) of the pair of two variable Boolean
functions. A set of sixteen \textit{Collatz-like} IVTs are identified in two
dimensions. Also, the dynamical system of IVTs having attractor with one, two,
three and four cycles are studied. Additionally, some quantitative information
of \textit{Integral Value Transformations} (IVTs) in different bases and
dimensions are also discussed.Comment: 18 pages, 13 figures, 8 table