9 papers
Complex evolutoids of holomorphic plane curves
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We study the local geometry, singularity classification, and wavefront dynamics of complex evolutoids for regular holomorphic curves in equipped with the standard co…
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} of…
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…
Envelope of intermediate lines of a plane curve
Ady Cambraia, Mostafa Salarinoghabi, Diego Trindade
For a pair of points in a smooth closed convex planar curve , its mid-line is the line containing its mid-point and the intersection point of the corresponding pair of tangent l…
On evolutoids of regular surfaces in Euclidean 3-space
Ady Cambraia Junior, Abilio Lemos, Mostafa Salarinoghabi
Inspired by the concept of evolutoids of planar curves, we present the concept of evolutoids for regular surfaces as an envelope of a two-parameter family of lines in Euclidean 3-s…
On the -generic family of space cusps
Pouya Mehdipour, Mostafa Salarinoghabi
We consider in this paper the -deformations of a family of space curves with codimension . Some geometric aspects of a space curve such as flattenings, vertices and tw…