Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit

CHUNBIAO LI1,2, (Member, IEEE), WESLEY JOO-CHEN THIO3, JULIEN CLINTON SPROTT4,
HERBERT HO-CHING IU5, (Senior Member, IEEE), AND YUJIE XU1,2

1Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology,
Nanjing 210044, China
2School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
3Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA
4Department of Physics, University of WisconsinMadison, Madison, WI 53706, USA
5School of Electrical, Electronic, and Computing Engineering, The University of Western Australian, Crawley, WA 6009, Australia

ABSTRACT

In this paper, we modify the Sprott M chaotic system to provide innitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system. Consequently, a chaotic signal with either polarity can be obtained by selecting different initial conditions. Various periodic functions are introduced in the same offset-boostable system for producing coexisting attractors. We used a field programmable analog array to construct a programmable chaotic circuit, and the predicted attractors were observed on an oscilloscope.

Ref: C. Li, W. J. Thio, J. C. Sprott, H. H. C. Iu, and Y. Xu, IEEE Access 6, 29003 (2018)

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