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Quantitative properties of the general systemic yoyo model

Xiaoya He (Department of Mathematics, Wuhan University of Science and Engineering, Wuhan, China)
Yi Lin (School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China and Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA)

Kybernetes

ISSN: 0368-492X

Article publication date: 16 March 2010

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Abstract

Purpose

The purpose of this paper is to establish quantitative properties for the general systemic yoyo model so that this model can be readily employed to study problems from various disciplines of knowledge, be they from natural science or social science.

Design/methodology/approach

Figurative analysis combined with calculus‐based methods is applied in this research, in order to achieve the goal that whatever is obtained theoretically, here can be practically used in various applications.

Findings

The paper introduces the concepts of gravitation, potential energy, and yoyo potentials for general spinning yoyos and look at the structure of yoyo fields with relevant quantitative representations developed for practical computation purposes. The paper shows how the spin field of a yoyo can be decomposed into eddy and meridian fields and why spinning yoyos have the tendency to line up in such a way that their axes of spin are parallel to each other and their like polarities face the same direction. When looking at yoyo flows and resistances, the Kirchhoff Junction and Loop Laws are generalized to the most general case of systemic yoyos. By considering the concept of yoyo fluxes, it is possible to rewrite the Gauss's law in the relevant most general language.

Originality/value

This work is the first of its kind to develop quantitative methods for studying various properties of systems on a unified footing: the general systemic yoyo model. As shown in this special issue, the results of this work have been and will continue to be applied to address many difficult problems that have been encountering scholars in the areas of modern science and humanities.

Keywords

Citation

He, X. and Lin, Y. (2010), "Quantitative properties of the general systemic yoyo model", Kybernetes, Vol. 39 No. 2, pp. 332-342. https://doi.org/10.1108/03684921011021507

Publisher

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Emerald Group Publishing Limited

Copyright © 2010, Emerald Group Publishing Limited

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