May 20, 2019   11:00 p.m. Bernard
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More-parametric translational objects based on elliptic curves

Supervisor: doc. RNDr. Mária Mišútová, PhD.


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This page shows details on the project. The primary projects are displayed together with a list of sub-projects.

Project description:Elliptic curve (EC) with its exceptional features, valued separately in cryptography, surprises also as a governing curve (GC) in translational surfaces (TS). EC shape doesn't correspond in any way to the shape of an ellipse. However, suitably linearly transformed TS based on the EC has with its intersection pattern in the shape of an ellipse. The existing analytical and graphical analysis of common points of sets of TP pairs now brings a new, original view on the famous curve. The project aims to examine two- and more-parametric objects, where EC is used as the GC and creating of more-parametric object is realized via linear mapping translation. The choice of this transformation is based on synographical approach. Part of the research is also dedicated to transformation and visualization of curvilinear synographs to TS and their analysis as a possible phase portraits of dynamical systems in phase space.
Kind of project:VEGA ()
Department:Institute of Applied Informatics, Automation and Mechatronics (MTF)
Project identification:1/0092/16
Project status:Not approved
Project start date :01. 01. 2016
Project close date:31. 12. 2018
Number of workers in the project:7
Number of official workers in the project:7

Official project workers

The following table shows the researcher workers who have been assigned official roles in a project.

OfficerOfficial roles
Bc. Alena Michálikováadministrátor
doc. RNDr. Mária Mišútová, PhD.zodpovedný riešiteľ
Mgr. Zuzana Červeňanskáspoluriešiteľ
Mgr. Hana Stúpalová, PhD.spoluriešiteľ
RNDr. Iveta Markechová, CSc.spoluriešiteľ
doc. RNDr. Oleg Palumbíny, CSc.spoluriešiteľ
PaedDr. Lujza Čipková Hamplová, PhD.spoluriešiteľ