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)
ABSTRACT
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.
Return to Sprott's Books and Publications.