School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China.
Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
Chaos. 2017 Aug;27(8):083101. doi: 10.1063/1.4997051.
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.
探索了一种新的混沌系统，其中除了线性函数外，所有项都是二次的。线性函数的斜率按比例缩放变量的幅度和频率，而其零截距允许一个变量的偏移量增加。因此，通过对线性函数进行简单的修改，就可以获得具有任意幅度、频率和偏移量的自由控制混沌振荡。当作为电子电路实现时，相应的混沌信号可以由两个独立的电位器控制，这便于构建基于混沌的应用系统。据我们所知，这类混沌振荡器从未有过报道。
