A new chaotic oscillator with free control

Chunbiao Li; Julien Clinton Sprott; Akif Akgul; Herbert H C Iu; Yibo Zhao

doi:10.1063/1.4997051

A new chaotic oscillator with free control

Chaos. 2017 Aug;27(8):083101. doi: 10.1063/1.4997051.

Authors

Chunbiao Li¹, Julien Clinton Sprott², Akif Akgul³, Herbert H C Iu⁴, Yibo Zhao¹

Affiliations

¹ School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China.
² Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
³ Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, Sakarya 54187, Turkey.
⁴ School of Electrical, Electronic, and Computing Engineering, The University of Western Australian, 35 Stirling Highway, Crawley, Washington 6009, Australia.

PMID: 28863487
DOI: 10.1063/1.4997051

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.