On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter

Dorin Andrica and Ovidiu Bagdasar ()
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Dorin Andrica: Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Ovidiu Bagdasar: School of Computing and Engineering, University of Derby, Derby DE22 1GB, UK

Mathematics, 2022, vol. 10, issue 18, 1-12

Abstract: We explore the dynamics of the sequence of Kasner quadrilaterals ( A n B n C n D n ) 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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