Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
Author(s) -
Chunbiao Li,
Wesley Joo-Chen Thio,
Julien Clinton Sprott,
Herbert Ho-Ching Iu,
Yujie Xu
Publication year - 2018
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2018.2824984
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
In this paper, we modify the Sprott M chaotic system to provide infinitely 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.
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