An Interdisciplinary Journal

* 2000, Volume 3, Number 3, pp.231--241*

Statistical characteristics of the
attractor for investigated complex system have been defined by
dispersion analysis of obtained topological curves in a form of
asymptotic estimations of convergence to exact stabilization. The
delay functional and matrix operator and corresponding
Jacobian-matrix for successive calculation of segments of
nonlinear time series have been obtained, the vector field
divergence is modeled by the obtained analytical model. As the
structure of phase trajectories is shown to be fractal, some
components of the multifractal dimensions spectrum have been
defined applying modified "sand-box" method. time
series, asymptotic estimations, fractal.

*Key words:* attractor, asymptotic estimations, fractal.

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Last updated: *June 19, 2001*