Back to Search Start Over

On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter

Authors :
Dorin Andrica
Ovidiu Bagdasar
Source :
Mathematics; Volume 10; Issue 18; Pages: 3334
Publication Year :
2022
Publisher :
Multidisciplinary Digital Publishing Institute, 2022.

Abstract

We explore the dynamics of the sequence of Kasner quadrilaterals (AnBnCnDn)n≥0 defined via a complex parameter α. We extend the results concerning Kasner triangles with a fixed complex parameter obtained in earlier works and determine the values of α for which the generated dynamics are convergent, divergent, periodic, or dense.

Subjects

Subjects :
dynamical systems
Kasner quadrilaterals
convergence
orbits
nested quadrilaterals
General Mathematics
Computer Science (miscellaneous)
Engineering (miscellaneous)

Details

Language :
English
ISSN :
22277390
Database :
OpenAIRE
Journal :
Mathematics; Volume 10; Issue 18; Pages: 3334
Accession number :
edsair.doi.dedup.....21455850209ebd8a19654bf870b2fddd
Full Text :
https://doi.org/10.3390/math10183334
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details