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A simplest parallel chaotic system of memristor

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ÎïÀíѧ±¨. 2013, 62 (19):         190506         doi:         10.7498/aps.62.190506
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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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