Broadband hyperchaotic oscillator with delay line

Antanas Cenys, Erik Lindberg, A. N. Anagnostopoulos, Gytis Mykolaitis, Skaidra Bumeliene, Arunas Tamasevicius

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Dynamical systems with time delay can be employed as high dimensional hyperchaotic oscillators with multiple positive Lyapunov exponents. We describe an electronic circuit composed of a 3-stage amplifier and a delay line in the feedback loop. The 1st stage of the amplifier is a nonlinear one while the 2nd and the 3rd stages are linear ones. Microwave transistors having the threshold frequency 5 to 9 GHz are used in the experimental circuits. The oscillators generate hyperchaotic signals in the frequency range from about 1 MHz to more than 100 MHz with unevenness of the spectral density less than 20 dB. Mathematical models are presented. The oscillators are described either by a scalar nonlinear DDE or by a set combined of one nonlinear DDE and two linear ODEs.
Original languageEnglish
Title of host publicationExperimental Chaos: 6th Experimental Chaos Conference
PublisherAmerican Institute of Physics
Publication date2002
ISBN (Print)978-0735400719
Publication statusPublished - 2002
EventExperimental Chaos: 6th Experimental Chaos Conference - Potsdam, Germany
Duration: 22 Jul 200126 Jul 2001


ConferenceExperimental Chaos: 6th Experimental Chaos Conference
SeriesAip Conference Proceedings

Cite this

Cenys, A., Lindberg, E., Anagnostopoulos, A. N., Mykolaitis, G., Bumeliene, S., & Tamasevicius, A. (2002). Broadband hyperchaotic oscillator with delay line. In Experimental Chaos: 6th Experimental Chaos Conference (Vol. 622, pp. 39-45). American Institute of Physics. Aip Conference Proceedings, Vol.. 622