1. University of Latvia, Department of Mathematics, Zellu 8, Riga, LV 1586, Latvia, and Institute of Mathematics and Computer Science of University of Latvia, Raina bulv. 29, Riga, LV 1048, Latvia 2. University of Latvia, Department of Mathematics, Zellu 8, Riga, LV 1586, Latvia
Abstract A well known chaotic mapping in symbol space is a shift mapping.
However, other chaotic mappings in symbol space exist too. The
basic change is to consider the process not only at a set of times
which are equally spaced, say at unit time apart (a shift
mapping), but at a set of times which are not equally spaced, say
if the unit time can not be fixed. The increasing mapping as a
generalization of the shift mapping and the k$-switch mapping are
introduced. The increasing and $k-switch mappings are chaotic.
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