相对于同宿与异宿轨道的曲面微分同胚的熵极小模型
动力系统
2007-05-23 v1
摘要
在相对于同宿与异宿轨道的曲面微分同胚理论中,对任意不可约同痕类都可计算一个一维代表映射。该图代表的拓扑熵等于给定周期的本质 Nielsen 类个数的增长率,因此是微分同胚拓扑熵的下界。本文中,我们证明该熵界是同痕类中微分同胚拓扑熵的下确界,并给出下确界熵达到最小的充分必要条件。
引用
@article{arxiv.math/0311187,
title = {Entropy-minimising models of surface diffeomorphisms relative to homoclinic and heteroclinic orbits},
author = {Pieter Collins},
journal= {arXiv preprint arXiv:math/0311187},
year = {2007}
}
备注
Re-formatted mathematics subject classification. 31 pages; 20 figures. Formerly a section of "Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits", to appear in "Dynamical Systems: an international journal", math.DS/0210061. Now re-written and submitted as a separate article