Hyperbolic chaos in the phase dynamics of a Q-switched oscillator with delayed nonlinear feedbacks

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Published 26 September 2008 Europhysics Letters Association
, , Citation S. P. Kuznetsov and A. Pikovsky 2008 EPL 84 10013 DOI 10.1209/0295-5075/84/10013

0295-5075/84/1/10013

Abstract

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.

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10.1209/0295-5075/84/10013