Chaos in a generalized Lorenz system

Vasiliy Kharchenko

National Academy of Science of Ukraine, Institute of Applied Physics, Theoretical Physics, Sumy, Ukraine

A three-component dynamic system describing a quantum cavity electrodynamic device with a pumping, nonlinear dissipation and additional external perturbation is studied. Various dynamical regimes are investigated in terms of divergent trajectories approaches and fractal statistics. It has been shown that time dissipative structures 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. It has been shown that transitions between regular and chatic regimes can be realized by scenarios of Ruelle-Takens, Feigenbaum and due to chaotic layer appearance.

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