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

  • O. Yu. Romanenko


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.
How to Cite
Romanenko, O. Y. “Self-Stochasticity Phenomenon in Dynamical Systems Generated by Difference Equations With Continuous Argument”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 7, July 2006, pp. 954–975,
Research articles