On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter
Journal article
Bagdasar, O. and Andrica, D. 2022. On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter. Mathematics. 10 (18). https://doi.org/10.3390/math10183334
Authors | Bagdasar, O. and Andrica, D. |
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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. |
Keywords | dynamical systems; Kasner quadrilaterals; convergence; orbits; nested quadrilaterals |
Year | 2022 |
Journal | Mathematics |
Journal citation | 10 (18) |
Publisher | MDPI |
ISSN | 2227-7390 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/math10183334 |
Web address (URL) | https://www.mdpi.com/2227-7390/10/18/3334 |
Accepted author manuscript | License File Access Level Open |
Publisher's version | File Access Level Open |
Output status | Published |
Publication dates | |
Online | 14 Sep 2022 |
Publication process dates | |
Accepted | 10 Sep 2022 |
Deposited | 17 Oct 2022 |
Supplemental file | File Access Level Open |
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https://repository.derby.ac.uk/item/99vv0/on-the-dynamic-geometry-of-kasner-quadrilaterals-with-complex-parameter
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