2012/08/30 by Akihiro Sato, Aki-Hiro Sato, Sato, Aki-Hiro +2
Computer Science · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #cs.CR #nlin.CD
paper · pdf · doi:10.48550/arxiv.1208.6205
18 pages, 15 figures
arxiv created 2012/08/30 · arxiv updated 2012/08/31
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.