5 papers
On the contact of surfaces in -space with 2-planes and their apparent contours
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We investigate the local geometry of generic smooth surfaces in via the contact with -planes and the associated apparent contour. We study the -singula…
A chaotic flux cipher based on the random cubic family
Pouya Mehdipour, Alexandre Miranda Alves, Gerardo Honorato +1
This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system i…
Random Dynamics of a Family of Cubic Polynomials
Alexandre Miranda Alves, Gerardo Andrés Honorato Gutiérrez, Mostafa Salarinoghabi
In this work, we study the non-autonomous dynamics generated by random iterations of the cubic family of the form . The parameter sequence is chosen randomly from a bound…
Some results on evolutoids of convex curves in -dimensional space forms
Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Antônio do Couto Fernandes +1
Let be a -dimensional space form of constant curvature and a smooth, closed, convex curve in . We explicitly parametrize the \textit{-evolutoid} o…
Extended Cellular Automata
Pouya Mehdipour, Mostafa Salarinoghabi, Paula Gibrim
In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon…