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We provide an iterated function system on any compact connected m-dimensional m with just three diffeomorphisms which are C 1-robustly minimal. This improves the main of [Ghane et al., 2010].
In this article, we study statistical attractors of skew products which have an m-dime compact manifold M as a fiber and their ε-invisible subsets. For any n ≥ 100 m 2 , m = di we construct a set R n in the space of skew products over the horseshoe with the fiber M the following properties. Each C 2-skew product from R n possesses a statistical attracto an… (More)
Delays dynamic systems are an important class of models for many processes , including those which are interconnected in epidemiology. Despite its age, the search field is still wide open. The objective of our work is to develop a methodical framework to characterize the Hopf bifurcation points, behavioral changes of the delays and their impact on the state… (More)
This work is devoted to the study of the strong minimality of a class of iterated function systems defined on the two dimensional torus T 2. This means that almost every orbital branch of each point is dense in the ambient space. Moreover, we prove that this property is robust under small perturbations of the generators.