This paper presents the concept of system architecture a flexible cyber-physical factory control system. The allows automation process structures using fractal nodes. These nodes have functional and independent form can be clustered to larger structures. makes it possible equip with flexible, freely scalable, modular description this associated rules conditions is outlined in concept.

The concept of cross density of states characterizes the intrinsic spatial coherence of complex photonic or plasmonic systems, independently of the illumination conditions. Using this tool and the associated intrinsic coherence length, we demonstrate unambiguously the spatial squeezing of eigenmodes on disordered fractal metallic films, thus clarifying a basic issue in plasmonics.

Electrochemical etching of semiconductors gives rise to a wide variety of self-organized structures including fractal structures, regular and branching pores. The Current-Burst Model and the Aging Concept are considered to describe the dynamical behavior governing the structure formation. Here the suppression of side-branching during pore growth is demonstrated by an open-loop-control method, r...

In this article, we study an analogue of $tt$-reducibility for points in computable metric spaces. We characterize the notion of the metric $tt$-degree in the context of first-level Borel isomorphism. Then, we study this concept from the perspectives of effective topological dimension theory and of effective fractal dimension theory.

M. F. Barnsley proposed the concept of fractal interpolation function (FIF) using iterated function systems (IFS) to describe the real world objects. The purpose of this paper is to study the parameter identification method for FIF with vertical scaling factor functions (VSFF) for one dimensional data set and establish the generalized version of the analytic approach of Mazel [13].

The nonadiabatic geometric phase in a time dependent quantum evolution is shown to provide an intrinsic concept of time having dual properties relative to the external time.A nontrivial extension of the ordinary quantum mechanics is thus obtained with interesting scaling laws.A fractal like structure in time is thus revealed. PACS nos.: 03.65.Bz.; 04.60.-m; 47.53.+n

By means of the concept of factorial moment the charge transfer rates in DNA segments with fractal structures are investigated. An analytical form for the electron transfer rate is obtained. PACS numbers: 87.15-v, 87.14.Gg ♣ Correponding author, E-mail: [email protected]

In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets Rα(0 < α 6 1) of real line numbers and established generalized Hermite-Hadamard’s inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions. c ©2017 All...

A novel printed octagonal fractal microstrip antenna with semi-elliptical ground plane is presented for ultra wide band applications. The proposed antenna has a compact size of 20×20×1 mm³. The measured result of the antenna exhibits the ultra wide band characteristics from 2/9 to 14/2 GHz. In this paper, reducing antenna’s size by 35%, the same results were achieved, while small dimension frac...