Hyperbolic chaos in the phase dynamics of a Q-switched oscillator with delayed nonlinear feedbacksS. P. Kuznetsov1, 2 and A. Pikovsky2
1 Kotel'nikov Institute of Radio Engineering and Electronics of RAS, Saratov Branch Zelenaya 38, Saratov, 410019, Russian Federation
2 Department of Physics and Astronomy, Potsdam University - 14476 Potsdam-Golm, Germany, EU
received 12 June 2008; accepted in final form 29 August 2008; published October 2008
published online 26 September 2008
We propose a device based on a Q-switched self-sustained oscillator with two nonlinear delayed feedback loops. Due to the appropriate phase transformation of the signal that influences the generation of each successive pulse, the phase difference between the two neighboring pulses evolves according to the Bernoulli doubling map. It corresponds to a hyperbolic chaotic attractor yielding a robust, structurally stable chaos. We discuss possible experimental implementations of the scheme.
05.45.Ac - Low-dimensional chaos.
42.65.Sf - Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics.
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