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Title of Article

AN EXAMPLE OF TOPOLOGICALLY TRANSITIVE BUT NOT TOPOLOGICALLY ERGODIC SMOOTH SKEW PRODUCT ON A RECTANGLE


Issue
4
Date
2012

Article type
scientific article
UDC
517.987.5
Pages
193-201
Keywords
skew product, topological transitivity, topological ergodicity


Authors
Filchenkov Andrey Sergeevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
An example is constructed of a С3 - smooth skew product in the unit square I such that all its odd iterations are topologically transitive in I, and all its even iterations are not topologically transitive in I.

File (in Russian)