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math.DS2025
An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
We present an elementary derivation of the period-three cycles for the real quadratic map , a fundamental model in one-dimensional discrete dynamics. Using symmetri…
math.HO2025★ 1 cited
Floor, ceiling and the space between
Árpád Bényi, Branko Ćurgus
Motivated by questions on the ranges of commutators of dilated floor functions and one posed in Problem 27327 from Gazeta Matematică, we investigate the precise ranges of certain g…