A new chaotic oscillator with free control

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

    Research output: Contribution to journalArticlepeer-review

    77 Citations (Scopus)


    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.

    Original languageEnglish
    Article number083101
    Number of pages6
    Issue number8
    Publication statusPublished - 1 Aug 2017


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