A new chaotic oscillator with free control

Chunbiao Li,1,2,a) Julien Clinton Sprott,3 Akif Akgul,4 Herbert H. C. Iu,5 and Yibo Zhao1,2

1School of Electronic and Information Engineering, Nanjing University of Information Science
and Technology, Nanjing 210044, China

2Jiangsu Key Laboratory of Meteorological Observation and Information Processing,
Nanjing University of Information Science and Technology, Nanjing 210044, China

3Department of Physics, University of Wisconsin–Madison, Madison, Wisconsin 53706, USA

4Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University,
Sakarya 54187, Turkey

5School of Electrical, Electronic, and Computing Engineering, The University of Western Australian,
35 Stirling Highway, Crawley, Washington 6009, Australia

(Received 5 April 2017; accepted 18 July 2017; published online 2 August 2017)


A novel chaotic system is explored in which all terms are quadratic except for a linear function. The slope of the linear function rescales the amplitude and frequency of the variables linearly while its zero intercept allows offset boosting for one of the variables. Therefore, a free-controlled chaotic oscillation can be obtained with any desired amplitude, frequency, and offset by an easy modification of the linear function. When implemented as an electronic circuit, the corresponding chaotic signal can be controlled by two independent potentiometers, which is convenient for constructing a chaos-based application system. To the best of our knowledge, this class of chaotic oscillators has never been reported.

Ref: C. Li, J. C. Sprott, A. Akgul, H. H. C. Iu, and Y. Zhao, Chaos 27, 083101-1 -- 033101-6 (2017)

The complete paper is available in PDF format.

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