Correlational properties of two-dimensional solvable chaos on the unit circle
Chaotic Dynamics
2012-08-31 v1 Cryptography and Security
Abstract
This article investigates correlational properties of two-dimensional chaotic maps on the unit circle. We give analytical forms of higher-order covariances. We derive the characteristic function of their simultaneous and lagged ergodic densities. We found that these characteristic functions are described by three types of two-dimensional Bessel functions. Higher-order covariances between x and y and those between y and y show non-positive values. Asymmetric features between cosine and sine functions are elucidated.
Keywords
Cite
@article{arxiv.1208.6205,
title = {Correlational properties of two-dimensional solvable chaos on the unit circle},
author = {Aki-Hiro Sato and Ken Umeno},
journal= {arXiv preprint arXiv:1208.6205},
year = {2012}
}
Comments
18 pages, 15 figures