Complexity and Chimera States in a Network of Fractional-Order Laser Systems

Complexity and Chimera States in a Network of Fractional-Order Laser Systems

By applying the Adams-Bashforth-Moulton method (ABM), this paper explores the complexity and synchronization of a fractional-order laser dynamical model. The dynamics under the variance of derivative order q and parameters of the system have examined using the multiscale complexity algorithm and the...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 13; no. 2; p. 341
Main Authors: He, Shaobo, Natiq, Hayder, Banerjee, Santo, Sun, Kehui
Format: Journal Article
Language:English
Published: MDPI AG 01-02-2021
Subjects:
chaotic laser
chimera state
complexity
fractional calculus
network
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Summary:By applying the Adams-Bashforth-Moulton method (ABM), this paper explores the complexity and synchronization of a fractional-order laser dynamical model. The dynamics under the variance of derivative order q and parameters of the system have examined using the multiscale complexity algorithm and the bifurcation diagram. Numerical simulation outcomes demonstrate that the system generates chaos with the decreasing of q. Moreover, this paper designs the coupled fractional-order network of laser systems and subsequently obtains its numerical solution using ABM. These solutions have demonstrated chimera states of the proposed fractional-order laser network.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13020341