Announcement of Report: A. V. Makarenko, The approximation analytical estimation of horizon predictability in a simple model blow-up mode
The report A. V. Makarenko, "The approximation analytical estimation of horizon predictability in a simple model blow-up mode" analyzed properties of the dynamical system with a free (control) parameter \(\lambda\in\mathbb{R}_+\):
\begin{align} \mathbf{\ddot r} = \mathbf{f}_0\,\left(\lambda + \lvert\mathbf{\dot r}_0\rvert^2\right),\quad \mathbf{r}\in\mathrm{R}\subseteq\mathbb{R}^N,\quad t\in\mathrm{T}\subseteq\mathbb{R},\quad \mathbf{f}_0=\frac{\mathbf{\ddot r}_0}{\lambda + \lvert\mathbf{\dot r}_0\rvert^2}. \end{align}
We study the probabilistic properties of the horizon predictability \(\tau_{hp}\) formed is by the model. To do this, use the analytic approximation.
Report accepted for XII International Conference "Stability and Oscillations of Nonlinear Control Systems", 5-8 June 2012, ICS RAS, Moscow, Russia. Read more: www.stab12.ru.
04 April 2012.
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