Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit

Chunbiao Li, Wesley Joo Chen Thio, Julien Clinton Sprott, Herbert H.C. Iu, Yujie Xu

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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 (FPAA) to construct a programmable chaotic circuit, and the predicted attractors were observed on an oscilloscope.

Original languageEnglish
Pages (from-to)29003 - 29012
JournalIEEE Access
Volume6
DOIs
Publication statusPublished - 20 Jun 2018

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