Collatz's "3x+1" problem and iterative maps on interval
数论
2007-05-23 v2 动力系统
摘要
In this paper, we convert Collatz map into a simple conjugate iterative maps defined in [0,1]. Such maps are more familiar to us and easier to deal with. Some new features of this map are observed by this method. An interesting heuristic proof is also presented. This research may provide a new venture to crack the "3x+1" problem.
引用
@article{arxiv.math/0608708,
title = {Collatz's "3x+1" problem and iterative maps on interval},
author = {Wang Liang},
journal= {arXiv preprint arXiv:math/0608708},
year = {2007}
}
备注
15 pages,4 figures