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Published on: November 24, 2021
A new chaotic oscillator with free control
Chunbiao Li1, Julien Clinton Sprott2, Akif Akgul3
1School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China.
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.
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