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arXiv · 1208.6205

Correlational properties of two-dimensional solvable chaos on the unit circle

Aki-Hiro Sato·Ken Umeno
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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.

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Aki-Hiro Sato, Ken Umeno. 2012-08-30. Correlational properties of two-dimensional solvable chaos on the unit circle. https://arxiv.org/abs/1208.6205

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