Chaotic synchronization of two complex nonlinear oscillators

Gamal M. Mahmoud, Emad E. Mahmoud, Ahmed A. Farghaly and Shaban A. Aly

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2858-2864

Abstract: Synchronization is an important phenomenon commonly observed in nature. It is also often artificially induced because it is desirable for a variety of applications in physics, applied sciences and engineering. In a recent paper [Mahmoud GM, Mohamed AA, Aly SA. Strange attractors and chaos control in periodically forced complex Duffing’s oscillators. Physica A 2001;292:193–206], a system of periodically forced complex Duffing’s oscillators was introduced and shown to display chaotic behavior and possess strange attractors. Such complex oscillators appear in many problems of physics and engineering, as, for example, nonlinear optics, deep-water wave theory, plasma physics and bimolecular dynamics. Their connection to solutions of the nonlinear Schrödinger equation has also been pointed out.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2858-2864

DOI: 10.1016/j.chaos.2009.04.027

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