Variable-boostable chaotic flows

Chunbiao Li a,b,∗, Julien Clinton Sprottc
a Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science &
Technology, Nanjing 210044, China
b School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China
c Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA

Received 15 June 2016
Accepted 22 August 2016

a b s t r a c t
A new regime of chaotic flows is explored in which one of the variables has the freedom of offset boosting. By a single introduced constant, the DC offset of the variable can be boosted to any level, and therefore the variable can switch between a bipolar signal and a unipolar signal according to the constant. This regime of chaotic flows is convenient for chaos applications since it can reduce the number of components required for signal conditioning. Offset boosting can be combined with amplitude control to achieve the full range of linear transformations of the signal. The symmetry of the variable-boostable system may be destroyed by the new introduced boosting controller; however, a different symmetry is obtained that preserves any existing multistability.

Ref: C. Li and J. C. Sprott, Optik - International Journal for Light and Electron Optics 127, 10389-10398 (2016)

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