Algebraic entropy for algebraic maps
Chaotic Dynamics
2016-01-20 v1 Exactly Solvable and Integrable Systems
Abstract
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The definition inherits the basic properties from the definition of entropy for rational maps. We give an example with positive entropy, as well as two examples taken from the theory of Backlund transformations.
Cite
@article{arxiv.1508.01440,
title = {Algebraic entropy for algebraic maps},
author = {A. N. W. Hone and O. Ragnisco and F. Zullo},
journal= {arXiv preprint arXiv:1508.01440},
year = {2016}
}
Comments
17 pages