Self-stochasticity phenomenon in dynamical systems generated by difference equations with continuous argument

For dynamical systems generated by the difference equations x(t+1) = f(x(t)) with continuous time (f is a continuous mapping of an interval onto itself), we present a mathematical substantiation of the self-stochasticity phenomenon, according to which an attractor of a deterministic system contains...

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Збережено в:
Бібліографічні деталі
Дата:2006
Автори: Romanenko, O. Yu., Романенко, О. Ю.
Формат: Стаття
Мова:Українська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/3507
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:For dynamical systems generated by the difference equations x(t+1) = f(x(t)) with continuous time (f is a continuous mapping of an interval onto itself), we present a mathematical substantiation of the self-stochasticity phenomenon, according to which an attractor of a deterministic system contains random functions.