A STUDY ON SOME PROPERTIES FOR WEAK STABILITY OF NON-AUTONOMOUS DISCRETE DYNAMICAL SYSTEMS
DOI:
https://doi.org/10.46754/jmsi.2023.12.005Keywords:
Topological dynamics, Induced systems, Weak stability (stableness), Non-autonomous discrete dynamical systems (NADDS), Shadowing propertyAbstract
The interest in non-autonomous discrete dynamical systems has grown in recent years due to their relevance in describing real-world activities. For instance, external factors disturb the mapping in each iteration. In mathematics, stability theory explores the stability of solutions and trajectories of dynamical systems under slight perturbations of initial conditions. This paper introduces the concept of weak stability for non-autonomous discrete dynamical systems (NADDS). Analysis is also performed on a set of weak stable points, and the connection between weak stability and shadowing property is investigated. Additionally, this study also considers the connection between weak stability of a NADDS and its induced system.
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