2017
Том 69
№ 6

All Issues

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

Romanenko O. Yu.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 7, pp 1079-1105.

Citation Example: Romanenko O. Yu. Self-stochasticity phenomenon in dynamical systems generated by difference equations with continuous argument // Ukr. Mat. Zh. - 2006. - 58, № 7. - pp. 954–975.

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