Simulations show that signal attenuation factors like fading and shadowing improve the efficiency and speed of route discovery processes in ad hoc wireless networks that rely on the use of slotted ALOHA channel. On the other hand, the capture probability has been shown to be independent of the shadowing. While the detailed modeling of the route discovery packet dissemination in a network is rat...

We introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those belong a certain prescribed set. establish two types sufficient conditions under non\-auto\-nomous ordinary differential equations have such property. The first criterion applies semilinear equation provided that its linear part is hyperbolic and nonlinearity small in neig...

In this article we approach some of the basic questions in topological dynamics, concerning periodic points, transitivity, shadowing and gluing orbit properties, context C 0 incompressible flows generated by Lipschitz vector fields. We prove that a -generic fixed-point free flow satisfies property, it is transitive has dense set points non-wandering set. particular, reparametrized property. als...

In this paper we consider actions of the free group on two generators. We prove that an action a compact manifold dimension greater or equal to is C0-stable must have t...

We characterize and describe the extensions of expansive Ano- sov homeomorphisms on compact spaces. As an application we obtain a stability result for Anosov systems, show construction that embeds any system inside having shadowing property pseudo orbits original space.

AbstractIn this paper, we study local stable/unstable sets of sensitive homeomorphisms with the shadowing property defined on compact metric spaces. We prove that always contain a and perfect subset space. As corollary, generalize results in [Artigue et al. Beyond topological hyperbolicity: Lshadowing property, J. Differ. Equ. 268(6) (2020), pp. 3057–3080.] [Carvalho Cordeiro, Positively N-expa...

We study positive shadowing and chain recurrence in the context of linear operators acting on Banach spaces or even normed vector spaces. show that for there is only one recurrent set, this set a closed invariant subspace. prove every transitive dynamical system with property frequently hypercyclic and, as corollary, we obtain hypercyclic.