# A dynamical approach towards Collatz conjecture.

@article{Castaeda2019ADA, title={A dynamical approach towards Collatz conjecture.}, author={Pablo Casta{\~n}eda}, journal={arXiv: Dynamical Systems}, year={2019} }

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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