Analytical Study of the Julia Set of a Coupled Generalized Logistic Map
solv-int
2009-10-31 v2 Exactly Solvable and Integrable Systems
Abstract
A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter interpolates from the chaotic phase to the integrable phase, if the coupling strength satisfies a certain condition.
Cite
@article{arxiv.solv-int/9805001,
title = {Analytical Study of the Julia Set of a Coupled Generalized Logistic Map},
author = {Katsuhiko Yoshida and Satoru Saito},
journal= {arXiv preprint arXiv:solv-int/9805001},
year = {2009}
}
Comments
30pages, 22figures