Growth of number of periodic orbits of one family of skew product maps.

In this article we introduce a one-parameter family of skew product (Gt)t ∈ [−ε, ε]maps exhibiting a heterodimensional cycle such that the number of isolated periodic orbits inside it has not super-exponential growth. The dynamics in the central direction of the mapsGtis described by a one-parameter family of system of iterated functions. [ABSTRACT FROM PUBLISHER]