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

• Date: 2006
• Main Authors: Romanenko, O. Yu., Романенко, О. Ю.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3507
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...