A Memristor-Based Lorenz Circuit and Its Stabilization via Variable-Time Impulsive Control

被引：14
|
作者：
Wu, Po [1 ]
Li, Chuandong [1 ]
He, Xing [1 ]
Huang, Tingwen [2 ]
机构：
[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing Key Lab Nonlinear Circuits & Intelligen, Chongqing 400715, Peoples R China
[2] Texas A&M Univ Qatar, Dept Math, POB 23874, Doha, Qatar
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Lorenz systems; memristor; chaotic circuit; B-equivalence; variable-time impulse; DIFFERENTIAL-EQUATIONS; BIFURCATION; SYSTEMS; MODEL;
D O I：
10.1142/S0218127417500316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, an off-the-shelf memristor emulator of the quadratic memristor is developed and applied to a Lorenz circuit. The impulsive stabilization of the chaotic system by variable moments of impulses is investigated. By B-equivalence method, the considered variable-time impulsive system can be reduced to the fixed-time impulsive one. The simulations of the chaotic behavior verify the effectiveness of the emulator-based memristive system. The stability simulations support the validity of the method.
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页数：10
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