Synchronization in networks of coupled hyperchaotic CO${}_2$ lasers

Abstract

A non-autonomous dynamical system is proposed to study the synchronization in networks of mutually coupled optically modulated hyperchaotic CO${}_2$ lasers. By the method of master stability function (MSF) it is shown that the stable synchronous state can be reached for both the ring of diffusively coupled (RDC) and star-coupled (SC) networks of at most $24$ nodes or oscillators. A numerical simulation of the coupled $24$ hyperchaotic CO${}_2$ lasers is also performed to show that the corresponding synchronization error $\lesssim 10^{-6}$. Furthermore, the chimera states of the networks are found to coexist in some intervals of time and the coupling strengths where the networks are not synchronized, implying that the synchronization occurs only in some specific ranges of values of the coupling strengths.

arXiv comment12 pages, 11 figures; to appear in Physica Scripta (In the revised version, especially the figures 3, 10 and 11 are added and the existence of chimera state is shown)

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Cited by in corpus (1)

• Evaluating Bohm's quantum force in the scattering process by a classical potential