Chaos Suppression in a Gompertz-like Discrete System of Fractional Order-Reference-Cited by-同舟云学术

Chaos Suppression in a Gompertz-like Discrete System of Fractional Order

Published:2020-03-15 Issue:03 Volume:30 Page:2050049
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Danca Marius-F.¹²^ORCID,Fečkan Michal³⁴

Affiliation:

1. Department of Mathematics and Computer Science, Avram Iancu University of Cluj-Napoca, Romania

2. Romanian Institute of Science and Technology, 400487 Cluj-Napoca, Romania

3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Slovak Republic

4. Mathematical Institute, Slovak Academy of Sciences, Slovak Republic

Abstract

In this paper, we introduce the fractional-order variant of a Gompertz-like discrete system. The chaotic behavior is suppressed with an impulsive control algorithm. The numerical integration and the Lyapunov exponent are obtained by means of the discrete fractional calculus. To verify numerically the obtained results, beside the Lyapunov exponent, the tools offered by the 0-1 test are used.

Funder

the Slovak Research and Development Agency

the Slovak Grant Agency VEGA

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420500492

Reference22 articles.

1. Fractals and chaos in cancer models

2. Controlling chaos in discontinuous dynamical systems

3. Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order

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