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

resumo

  • 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.

data de publicação

  • janeiro 1, 2018