منابع مشابه
On the shadowing property of nonautonomous discrete systems
In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of weak contractions with shadowing and h-shadowing property.
متن کاملon the shadowing property of nonautonomous discrete systems
in this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. we investigate the relation of weak contractions with shadowing and h-shadowing property.
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In this talk, we consider a class of nonautonomous difference equations (recursions) possessing an attractive invariant manifold in the extended state space. It is our aim to study the behavior of this manifold, as well as of its corresponding asymptotic phase under perturbation. Our framework is sufficiently general to include discrete counterparts of (center-)unstable and inertial manifolds. ...
متن کاملSemi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings
It is shown how known results for autonomous difference equations can be adapted to definitions of semi-hyperbolicity and bi-shadowing generalized to nonautonomous difference equations with Lipschitz continuous mappings. In particular, invertibility and smoothness of the mappings are not required and, for greater applicability, the mappings are allowed to act between possibly different Banach s...
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ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2019
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2018-2033