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The purpose of this paper is to provide visualization tools for the fuzzy discrete dynamical systems introduced in [7]. [ABSTRACT FROM AUTHOR]

This paper aims to introduce the concept of a fuzzy discrete dynamical system as a fuzzy subgroupoid of X×Z×X, with Z representing the group of integer numbers. Additionally, we provide Maple procedures for the random generation of a fuzzy discrete dynamical system. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to provide visualization tools for analysis of the family of groupoids associated in [5] to a discrete nonautonomous system. [ABSTRACT FROM AUTHOR]

The purpose of this short note is to prove that if the category of all subgroupoids of trivial groupoids with group ࡌ is seen as a model category M in the sense [M. Nielsen A. Joyal and G. Winskel, 1996] and [E. Haghverdi, P. Tabuada, G.J. Pappas, 2002], then we can highlight a path category P (a subcategory of M serving as an abstract notion of time) such that the P-open morphisms are exactly the groupoid homomorphisms. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study the topology of the orbit space of an irreversible discrete dynamical system (X, φ) seen as a principal groupoid associated to the groupoid G(X,φ,E) introduced in [1] (where E is an equivalence relation on X) [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce a groupoid associated to a dynamical system. We find this groupoid to be adequate for study of the dynamical system via computer visualization. The principal innovation in our approach to classical ([4] and [7]) is the use of a uniform structure on phase space which induce a non-Hausdorff topology. [ABSTRACT FROM AUTHOR]