Algebraic entropy
chao-dyn
2009-10-31 v3 数学物理
math.MP
混沌动力学
可精确求解与可积系统
solv-int
摘要
For any discrete time dynamical system with a rational evolution, we define an entropy, which is a global index of complexity for the evolution map. We analyze its basic properties and its relations to the singularities and the irreversibility of the map. We indicate how it can be exactly calculated.
引用
@article{arxiv.chao-dyn/9805006,
title = {Algebraic entropy},
author = {M. P. Bellon and C. -M. Viallet},
journal= {arXiv preprint arXiv:chao-dyn/9805006},
year = {2009}
}
备注
Latex, 12 pages, 1 figure