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ÒѾEI,SCIÎÒÕâÀï²é²»µ½ Accession number: 20134416940542 Title: A simplest parallel chaotic system of memristor Authors: Xu, Bi-Rong1 Email author xubirong1@163.com Author affiliation: 1School of Mechanical and Electrical Engineering, Wuyi University, Wuyishan 354300, China Corresponding author: Xu, B.-R. (xubirong1@163.com) Source title: Wuli Xuebao/Acta Physica Sinica Abbreviated source title: Wuli Xuebao Volume: 62 Issue: 19 Issue date: 2013 Publication year: 2013 Article number: 190506 Language: Chinese ISSN: 10003290 CODEN: WLHPAR Document type: Journal article (JA) Publisher: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing, 100190, China Abstract: Based on a proposed voltage-controlled memristor, a simplest parallel memristor chaotic system is constructed. The dynamical characteristics of the new chaotic system are analyzed, including Lyapunov exponent, Lyapunov dimension, time domain waveforms, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams and Poincar?e mapping. An electronic circuit of the new system is designed and verified by simulations using the EWB software. Research results show that with the parameter change, the i-v characteristic of the memristor, instead of keeping inclined 8- shaped, becomes a fan-shape with a tail. The differences between the chaotic system and the magnetic-controlled memristor chaotic system are in two aspects: only one equilibrium point in the chaotic system, and the initial conditions do not affect the state of the system when the system can oscillate. Good matching between numerical simulation and circuit experimental simulation proves the existence and physical realizability of the new chaotic system. © Chinese Physical Society. Number of references: 15 Main heading: Chaotic systems Controlled terms: Differential equations - Lyapunov functions - Lyapunov methods - Memristors - Passive filters Uncontrolled terms: Chaotic circuits - Dynamical behaviours - Dynamical characteristics - Experimental simulations - Lyapunov exponent spectrum - Memristor - Parallel - Physical realizability Classification code: 703.2 Electric Filters - 714.2 Semiconductor Devices and Integrated Circuits - 921 Mathematics - 921.2 Calculus - 931 Classical Physics; Quantum Theory; Relativity - 961 Systems Science DOI: 10.7498/aps.62.190506 Database: Compendex Compilation and indexing terms, © 2013 Elsevier Inc. |

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