Chaos in a generalized Lorenz system

E.D. Belokolos, V.O. Kharchenko and D.O. Kharchenko

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2595-2605

Abstract: A three-component dynamic system describing a quantum cavity electrodynamic device with a pumping and nonlinear dissipation is studied. Various dynamical regimes are investigated in terms of divergent trajectories approaches and fractal statistics. It has been shown that stable and unstable dissipative structures type of limit cycles can be formed in such system, with variation of pumping and nonlinear dissipation rates. Transitions to chaotic regime and the corresponding chaotic attractor are studied in detail.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2595-2605

DOI: 10.1016/j.chaos.2008.09.049

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