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

Esteves, Salete2018-03-022018-03-022018Esteves, Salete (2018). Growth of number of periodic orbits of one family of skew product maps. Dynamical Systems. ISSN 1468-9367. 33:1, p. 1-131468-9367http://hdl.handle.net/10198/16146In 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 maps Gt is described by a one-parameter family of system of iterated functions.engSkew-product mapsArtin-Mazur mapsHeterodimensional cycleHomoclinic classIndex of a saddleGrowth of number of periodic orbits of one family of skew product mapsjournal article10.1080/14689367.2017.1290051