Algebraic entropy
chao-dyn
2009-10-31 v3 Mathematical Physics
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@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}
}
Comments
Latex, 12 pages, 1 figure