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A dynamical approach towards Collatz conjecture (1910.08497v1)
Published 18 Oct 2019 in math.DS
Abstract: The present work focuses on the study of the renowned Collatz conjecture, also known as the $3x +1$ problem. The distinguished analysis approach lies on the dynamics of an iterative map in binary form. A new estimation of the enlargement of iterated numbers is given. Within the associated iterative map, characteristic periods for periodic orbits are identified.
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