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Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit

Key Laboratory for Robot & Intelligent Technology of Shandong Province, Shandong University of Science and Technology, Qingdao 266590, China
Author to whom correspondence should be addressed.
Entropy 2019, 21(7), 678;
Received: 20 May 2019 / Revised: 6 July 2019 / Accepted: 6 July 2019 / Published: 11 July 2019
PDF [12122 KB, uploaded 11 July 2019]


In this paper, a new voltage-controlled memristor is presented. The mathematical expression of this memristor has an absolute value term, so it is called an absolute voltage-controlled memristor. The proposed memristor is locally active, which is proved by its DC VI (Voltage–Current) plot. A simple three-order Wien-bridge chaotic circuit without inductor is constructed on the basis of the presented memristor. The dynamical behaviors of the simple chaotic system are analyzed in this paper. The main properties of this system are coexisting attractors and multistability. Furthermore, an analog circuit of this chaotic system is realized by the Multisim software. The multistability of the proposed system can enlarge the key space in encryption, which makes the encryption effect better. Therefore, the proposed chaotic system can be used as a pseudo-random sequence generator to provide key sequences for digital encryption systems. Thus, the chaotic system is discretized and implemented by Digital Signal Processing (DSP) technology. The National Institute of Standards and Technology (NIST) test and Approximate Entropy analysis of the proposed chaotic system are conducted in this paper. View Full-Text
Keywords: chaos; memristor; Wien-bridge; coexisting attractors; DSP chaos; memristor; Wien-bridge; coexisting attractors; DSP

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Song, Y.; Yuan, F.; Li, Y. Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit. Entropy 2019, 21, 678.

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