Pseudo-orbit shadowing on the unit interval (Q804038)

The notions of pseudo-orbit and of shadowing are used to transpose to discrete dynamic systems a part of the stability theory of continuous dynamic systems in the presence of constantly acting perturbations. The perturbations considered indirectly are truncation and rounding errors in numerical computations. An `orbit'-`pseudo-orbit' closeness condition is given for a one-dimensional system defined by a nondecreasing continuous function defined inside a unit interval.