Some Topological Properties of Semi-Dynamical Systems release_dio4yhszifa75n2rgnz264ek2m

Abstract

Recently there has been an extensive study on Relative Semi-Dynamical Systems (RSD-Systems). In this paper, we explore some topological properties of RSD-systems. Here, in particular, minimal RSD-systems are characterized and transitive homeomorphisms are investigated. Moreover, α-level relative topological entropy is extended to RSD-systems. Finally, as a computational example, we develop an RSD-system over the polynomial function space R[x] based on the derivative operator; we also calculate α-level relative topological entropy for this system.
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