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Authors
Advisor(s)
Abstract(s)
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 maps Gt is described by a one-parameter family of system of iterated functions.
Description
Keywords
Skew-product maps Artin-Mazur maps Heterodimensional cycle Homoclinic class Index of a saddle
Citation
Esteves, Salete (2018). Growth of number of periodic orbits of one family of skew product maps. Dynamical Systems. ISSN 1468-9367. 33:1, p. 1-13