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Abstract HTML Views: 223 PDF Downloads: 125 Total Views/Downloads: 348
In this paper, we develop algorithms for calculation of fractal measures and characteristic exponents for
modeling of chaotic systems evolution. Using temporal localization along phase trajectories of a chaotic attractor
reconstructed from nonlinear time series, we achieve the essential reduction of required computer resources that allows
the nonlinear analysis algorithms to be realized even for higher-dimensional cases and provides their robustness to
enlarging the length of time series. The numerical simulations confirm reliability of the developed algorithms and their
high efficiency at calculation of fractal dimension.