2019/10/18 by Castañeda, Pablo
#11B37 #11B50 #37E05 #37E10 (Primary) #40A05 #65P20 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1910.08497
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.