4.7 Article

A new chaotic oscillator with free control

Journal

CHAOS
Volume 27, Issue 8, Pages -

Publisher

AIP Publishing
DOI: 10.1063/1.4997051

Keywords

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Funding

  1. Startup Foundation for Introducing Talent of NUIST [2016205]
  2. Natural Science Foundation of the Higher Education Institutions of Jiangsu Province [16KJB120004]
  3. Advantage Discipline Information and Communication Engineering of Jiangsu Province
  4. Priority Academic Program Development of Jiangsu Higher Education Institutions

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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. Published by AIP Publishing.

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