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arXiv · 1910.08497

A dynamical approach towards Collatz conjecture

Pablo Castañeda
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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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Pablo Castañeda. 2019-10-18. A dynamical approach towards Collatz conjecture. https://arxiv.org/abs/1910.08497

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