Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber

摘要: We consider step and soft skew products over the Bernoulli shift which have an -dimensional closed manifold as a fiber. It is assumed that fiber maps Holder continuously depend on point in base. prove that, space of product with this property, there exists open domain such from dense sets periodic points are attracting repelling along Moreover, robust properties invariant diffeomorphisms, including the coexistence different indices, obtained.