Special Issue on Advances in Oscillator Analysis and Design; Guest Editors: A. S. Elwakil (Univ. of Sharjah, Emirates), T. Ueta (Tokushima Univ., Japan) and K. N. Salama (King Abdullah Univ. of Science and Technology, Saudi Arabia)No Access

HIGHER-ORDER CHAOTIC OSCILLATOR USING ACTIVE BESSEL FILTER

ERIK LINDBERG

DTU Elektro Department, 348 Technical University of Denmark, Lyngby, DK-2800, Denmark

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GYTIS MYKOLAITIS

Department of Physics, Faculty of Fundamental Sciences, Vilnius Gediminas Technical University, Vilnius, LT-10223, Lithuania

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SKAIDRA BUMELIENĖ

Plasma Phenomena and Chaos Laboratory, Semiconductor Physics Institute, A. Goštauto 11, Vilnius, LT-01108, Lithuania

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TATJANA PYRAGIENĖ

Plasma Phenomena and Chaos Laboratory, Semiconductor Physics Institute, A. Goštauto 11, Vilnius, LT-01108, Lithuania

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ARŪNAS TAMAŠEVIČIUS

Plasma Phenomena and Chaos Laboratory, Semiconductor Physics Institute, A. Goštauto 11, Vilnius, LT-01108, Lithuania

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ELENA TAMAŠEVIČIŪTĖ

Department of General Physics and Spectroscopy, Faculty of Physics, Vilnius University, Vilnius, LT-10222, Lithuania

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, and

RAIMUNDAS KIRVAITIS

Department of Electronic Systems, Faculty of Electronics, Vilnius Gediminas Technical University, Naugarduko 41, Vilnius, LT-03227, Lithuania

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https://doi.org/10.1142/S0218126610006487Cited by:2 (Source: Crossref)

Abstract

A higher-order oscillator, including a nonlinear unit and an 8th-order low-pass active Bessel filter is described. The Bessel unit plays the role of "three-in-one": a delay line, an amplifier and a filter. Results of hardware experiments and numerical simulation are presented. Depending on the parameters of the nonlinear unit the oscillator operates either in a one-scroll or two-scroll mode. Two positive Lyapunov exponents, found at larger values of the negative slopes of the nonlinear function, characterize the oscillations as hyperchaotic.

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