English

A dynamical approach towards Collatz conjecture

Dynamical Systems 2019-10-21 v1

Abstract

The present work focuses on the study of the renowned Collatz conjecture, also known as the 3x+13x +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.

Keywords

Cite

@article{arxiv.1910.08497,
  title  = {A dynamical approach towards Collatz conjecture},
  author = {Pablo Castañeda},
  journal= {arXiv preprint arXiv:1910.08497},
  year   = {2019}
}

Comments

10 pages, 3 figures, 2 tables

R2 v1 2026-06-23T11:47:59.433Z