ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Koronovskii A. A., Hramov A. E., Hromova I. A. Mean duration оf transient processes in dynamical systems with discrete time. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 1, pp. 36-46. DOI: 10.18500/0869-6632-2003-11-1-36-46

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Mean duration оf transient processes in dynamical systems with discrete time

Koronovskii Aleksei Aleksandrovich, Saratov State University
Hramov Aleksandr Evgenevich, Immanuel Kant Baltic Federal University
Hromova Irina Anatolevna, Saratov State University

In this work the dependence of mean duration of transient processes upon the exactness оf duration computation and upon the control parameters 18 discussed. On the example оf sample one-dimensional maps (logistic tар and circle map) it is shown that the mean duration of transient process is determined by the multiplicator of the stable cycle. The analytic form characterizing this dependence аt the different values оf control parameters is offered.

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This work was supported by the Russian Foundation for Basic Research (grants 01-02-17392 and 02-02-16351) and by the Scientific and Educational Centre "Nonlinear Dynamics and Biophysics" at the Saratov State University (grant REC-006 of the U.S. Civilian Research and Development Foundation for the Independent States of the Former Soviet Union (CRDF)).
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