Control of Economic Situations by Utilizing an Electronic Circuit

Control of Economic Situations by Utilizing an Electronic Circuit

S.G. Stavrinides, M.P. Hanias, L. Magafas, S. Banerjee
Copyright: © 2015 |Pages: 15
DOI: 10.4018/IJPMAT.2015070101
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Abstract

In this paper a circuit (physical system), implementing a financial system with time-delayed feedbacks, is designed and studied. The simple form of this dynamical system, without any time-delayed feed, has been already investigated and was found to demonstrate both a periodic and chaotic behavior. By introducing the time-delayed feedback, according to the Pyragas method, control of the circuit's-system's chaotic behaviour could be achieved. Its overall operation was simulated, using NI's Multisim and control of its behaviour was achieved by controlling feedback delay-time of a certain system variable, corresponding to a financial variable.
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2. A Finance Chaotic Model

A dynamical system modeling a finance system was reported in (Ma & Chen, Part I, 2001) and an initial study of its behavior appeared in (Ma & Chen, Part II, 2001). This financial model was governed by a third-order set of differential equations appearing in (1).

IJPMAT.2015070101.m01
(1)

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