Abstract
Abstract
We propose a novel unifying approach to study the shadowing property for a broad class of dynamical systems (in particular, discontinuous and non-invertible) under a variety of perturbations. In distinction to known constructions, our approach is local: it is based on the gluing property which takes into account the shadowing under a single (not necessarily small) perturbation.
Reference20 articles.
1. A note on Anosov homeomorphisms;Achigar;Axioms,2019
2. On a class of invariant sets of smooth dynamical systems;Anosov,1970
3. Geodesic flows on closed Riemannian manifolds with negative curvature;Anosov,1967
4. An extension of Poincare’s last geometric theorem;Birkhoff;Acta Math.,1926
5. Metric properties of ɛ-trajectories of dynamical systems with stochastic behaviour;Blank;Ergod. Theory Dyn. Syst.,1988