| Issue |
EPL
Volume 84, Number 1, October 2008
|
|
|---|---|---|
| Article Number | 10013 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/84/10013 | |
| Published online | 26 September 2008 | |
Hyperbolic chaos in the phase dynamics of a Q-switched oscillator with delayed nonlinear feedbacks
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
Corresponding author: pikovsky@uni-postdam.de
Received:
12
June
2008
Accepted:
29
August
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.
PACS: 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
© EPLA, 2008
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