Analysis, adaptive control and circuit simulation of a novel finance system with dissaving

• Autorzy: Tacha O. I. , Volos C. K. , Stouboulos I. N. , Kyprianidis I. M.

Identyfikatory

DOI

10.1515/acsc-2016-0006

• Języki publikacji: EN

Abstrakty

EN

In this paper a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities with negative saving term, which is called ‘dissaving’ is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using wellknown simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system’s behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.

Słowa kluczowe

EN

chaotic finance system; dissaving; bifurcation diagram; Lyapunov exponent; phase portrait; adaptive control; nonlinear circuit

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2016
• Tom: Vol. 26, no. 1
• Strony: 95--115
• Opis fizyczny: Bibliogr. 39 poz., wykr., wzory

Twórcy

autor

Tacha O. I.

• Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece

autor

Volos C. K.

• Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece

autor

Stouboulos I. N.

• Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece

autor

Kyprianidis I. M.

• Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę