Variable-boostable chaotic flows
Chunbiao Li
a,b,∗, Julien Clinton Sprott
c
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.