On the simplest topologically transitive skew products in the plane. (English. Russian original) Zbl 1335.37021
J. Math. Sci., New York 200, No. 1, 71-81 (2014); translation from Sovrem. Mat. Prilozh. 85 (2012).
Summary: In this paper, we obtain (sufficient) conditions under which the set of periodic points of the topologically transitive skew product of mappings of an interval is dense in the phase space of the dynamical system considered.
MSC:
| 37E15 | Combinatorial dynamics (types of periodic orbits) |
| 37E30 | Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces |
References:
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