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

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

Abstract 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 co...

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Bibliographic Details
Main Authors: Amina-Aicha Khennaoui, Adel Ouannas, Samir Bendoukha, Giuseppe Grassi, Xiong Wang, Viet-Thanh Pham, Fawaz E. Alsaadi
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Advances in Difference Equations
Subjects:
Fractional discrete-time calculus
Fractional Stefanski map
Fractional Rössler map
Fractional Wang map
Control
Synchronization
Online Access:http://link.springer.com/article/10.1186/s13662-019-2343-6

Internet

http://link.springer.com/article/10.1186/s13662-019-2343-6

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