Abstract
In this рарег we analyze the transient processes in two-dimensional dynamical system with discrete time (Henon map) demonstrating periodical oscillations. The method оf calculation оf the transient process duration and its dependence оn the accuracy of determination of the process and on the initial conditions is considered. Mechanisms leading to complication of this dependence are revealed. In the second part of the work we plan to consider the dependence of the mean duration of the transient process when controlling parameters change.
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