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Chaos in a generalized Lorenz system

Author

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

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.

Suggested Citation

  • Belokolos, E.D. & Kharchenko, V.O. & Kharchenko, D.O., 2009. "Chaos in a generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2595-2605.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2595-2605
    DOI: 10.1016/j.chaos.2008.09.049
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    References listed on IDEAS

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    1. Olemskoi, Alexander I. & Khomenko, Alexei V. & Kharchenko, Dmitrii O., 2003. "Self-organized criticality within fractional Lorenz scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 263-293.
    2. Mello, L.F. & Messias, M. & Braga, D.C., 2008. "Bifurcation analysis of a new Lorenz-like chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1244-1255.
    3. Gambino, Gaetana & Lombardo, Maria Carmela & Sammartino, Marco, 2006. "Global linear feedback control for the generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 829-837.
    4. Yau, Her-Terng & Chen, Chieh-Li, 2007. "Chaos control of Lorenz systems using adaptive controller with input saturation," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1567-1574.
    5. Wu, Zhengmao & Xie, Jianying & Fang, Yanyan & Xu, Zhenyuan, 2007. "Controlling chaos with periodic parametric perturbations in Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 104-112.
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