Chaos, control, and synchronization in some fractional-order difference equations

In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of phase portraits, bifurcation diagrams, and Lyapunov exponents. In addition, three control law...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2019; no. 1; pp. 1 - 23
Main Authors:	Khennaoui, Amina-Aicha, Ouannas, Adel, Bendoukha, Samir, Grassi, Giuseppe, Wang, Xiong, Pham, Viet-Thanh, Alsaadi, Fawaz E.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 26.09.2019 Springer Nature B.V SpringerOpen
Subjects:	Advances in Fractional Differential Equations and Their Real World Applications - Part Two Analysis Bifurcations Chaos theory Control Control stability Control theory Difference and Functional Equations Difference equations Discrete systems Fractional discrete-time calculus Fractional Rössler map Fractional Stefanski map Fractional Wang map Functional Analysis Liapunov exponents Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Synchronism Synchronization 34H10 Fractional Wang map Control Fractional discrete-time calculus Fractional Stefanski map Synchronization Fractional Rössler map 34D06 34A08
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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