Graded vector fields and involutive distributions on graded manifolds

Esmaeil Azizpour, M.H. Zarifi

In this paper: Suppose that ℳ = (M, 𝒜) is a graded manifold and consider a direct subsheaf 𝒟 of Der 𝒜 and a graded vector field Γ on ℳ, both satisfying certain conditions. We attach to 𝒟 a distribution 𝒟 + [Γ, 𝒟] an...

Syndetically transitive and syndetically sensitive Iterated Function Systems

E. Rezaali, F. H. Ghane, H. Ebadizadeh

In this paper: In this paper, we discuss several stronger forms of sensitivities for iterated function systems (IFSs), such as strong sensitivity and syndetical sensitivity, and obtain some sufficient conditions for...

Chain mixing and shadowing property in Iterated Function Systems

Mehdi Fatehi Nia

In this paper: In this paper we consider the chain mixing and shadowing properties for iterated function systems, (IFS). Some important results about shadowing property are extended to iterated function systems. We...

Normally generated line bundle and laurent series solutions of nonlinear differential equations

A. Lesfari

In this paper: The aim of this paper is to demonstrate the rich interaction between the properties of dynamical systems, the geometry of its asymptotic solutions, and the theory of Abelian varieties. We are going to...

The entropy of hyperfuzzy sets

In this paper: This paper deals with studying the entropy of dynamical systems on hyperfuzzy sets. At first we define the entropy of hyperfuzzy partitions and conditional entropy. Then, some basic properties of thes...

On T-Slant, N-Slant and B-Slant helices in galilean space 𝔾3

In this paper: In this paper, we define T-slant, N-slant and B-slant helices in Galilean space 𝔾3. In particular, we obtain the explicit parameter equations of the T-slant helices and prove that an admissible curve...