AN EXAMPLE OF TOPOLOGICALLY TRANSITIVE BUT NOT TOPOLOGICALLY ERGODIC SMOOTH SKEW PRODUCT ON A RECTANGLE |
4 | |
2012 |
scientific article | 517.987.5 | ||
193-201 | skew product, topological transitivity, topological ergodicity |
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. |
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