Zero Entropy for Some Birational Maps of C^2
Dynamical Systems
2017-04-25 v1
Abstract
This work deals with a special case of family of birational maps f : C2 -> C2 dynamically classified in [9]. In this work we study the zero entropy sub families of f. The sequence of degrees dn associated to the iterates of f is found to grow periodically, linearly, quadratically or exponentially. Explicit invariant fibrations for zero entropy families and all the integrable and periodic mappings inside the family f are given.
Keywords
Cite
@article{arxiv.1704.07108,
title = {Zero Entropy for Some Birational Maps of C^2},
author = {Anna Cima and Sundus Zafar},
journal= {arXiv preprint arXiv:1704.07108},
year = {2017}
}