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Non autonomous discrete dynamical systems

2020-02-26 04:10

DYNAMICS OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS PUNEET SHARMA AND MANISH RAGHAV Abstract. In this paper we study the dynamics of a general nonautonomous dynamical system generated by a family of continuous self maps on a compact space X. We derive necessary and sucient conditions for the system to exhibit complex dynamical behavior.Nonautonomous Dynamical Systems (NDS) covers all areas and subareas of nonautonomous dynamical systems. In particular, it encourages interdisciplinary papers that cut across subdisciplines of nonautonomous dynamical systems to neighboring fields. non autonomous discrete dynamical systems

DYNAMICS OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS PUNEET SHARMA AND MANISH RAGHAV Abstract. We study the dynamics of a general nonautonomous dynamical system generated by a family of continuous selfmaps on a compact space X. We derive necessary and t conditions for the system to exhibit complex dynamical behavior. In

Non autonomous discrete dynamical systems free

We define and study expansiveness, shadowing, and topological stability for a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a metric space. 1. Introduction. In the recent past, lots of studies have been done regarding dynamical properties in nonautonomous discrete dynamical systems.

In this paper, the sensitivity for nonautonomous discrete systems is investigated. First of all, two sufficient conditions of sensitivity for general nonautonomous dynamical systems are presented. At the same time, one stronger form of sensitivity, that is, cofinite sensitivity, is introduced for nonautonomous systems.

A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions t that for any element of t T, the time, map a point of the phase space back into the phase space. The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T. When T is taken to be the reals, the dynamical

In this paper, the sensitivity for nonautonomous discrete systems is investigated. First of all, two sufficient conditions of sensitivity for general nonautonomous dynamical systems are presented.

the basic theory of discrete dynamical systems and stability analysis and explores several Regardless of the autonomous or nonautonomous nature of the system we note that while the continuous systems models transition functions were given as rst

Dec 01, 2018  Note that the autonomous dynamical system is a special case of system when f n f for all n 1. . We refer to Section 2 for other notions and notation needed in this paper. . Nonautonomous discrete dynamical systems naturally appear as a suitable model to describe real processes like, e. g. , when the map is perturbed in each iteration due to external forces or other reasons.

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Sep 19, 2012 Abstract. These notes present and discuss various aspects of the recent theory for timedependent difference equations giving rise to nonautonomous dynamical systems on general metric spaces: First, basic concepts of autonomous difference equations and discretetime (semi) dynamical systems are reviewed for later contrast in the nonautonomous case.

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