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2 results on '"nested quadrilaterals"'

1. On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter.

Author

Andrica, Dorin and Bagdasar, Ovidiu

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. [ABSTRACT FROM AUTHOR]

Published
2022
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2. On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter

Author

Dorin Andrica and Ovidiu Bagdasar

Subjects
dynamical systems, Kasner quadrilaterals, convergence, orbits, nested quadrilaterals, Mathematics, QA1-939
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.

Published
2022
Full Text
View/download PDF

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