Third-order RLCM-four-elements-based chaotic circuit and its coexisting bubbles

被引：53

作者：

Bao, Bocheng ^{[1
]}

Xu, Li ^{[1
]}

Wang, Ning ^{[1
]}

Bao, Han ^{[1
]}

Xu, Quan ^{[1
]}

Chen, Mo ^{[1
]}

机构：

[1] Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Peoples R China

来源：

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS | 2018年 / 94卷

关键词：

Memristor; Third-order chaotic circuit; RLCM; Coexisting bubbles; PERIOD-DOUBLING CASCADES; METAL-OXIDE MEMRISTORS; MULTIPLE ATTRACTORS; CHUAS CIRCUIT; JERK CIRCUIT; ANTIMONOTONICITY; OSCILLATOR; EQUILIBRIUM; REVERSALS; FILTER;

D O I：

10.1016/j.aeue.2018.06.042

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a new third-order RLCM-four-elements-based chaotic circuit, in which the memristor element is equivalently implemented by a diode-bridge cascaded with an inductor. Mathematical model is established and its equilibrium stability is analyzed. The dynamical properties of the memristive chaotic circuit are disposed by MAMAS numerical simulations and confirmed by breadboard experimental measurements. In particular, the antimonotonicity phenomena of coexisting periodic and chaotic bubbles are observed under some specified control system parameters and the evolutions of coexisting bubbles are exhibited with the variations of two control system parameters. The presented memristive chaotic circuit is very simple and only third-order but can emerge complex dynamics with chaos, period, coexisting bifurcation modes, and coexisting bubbles.

引用

页码：26 / 35

页数：10

共 35 条

[1] NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI-LAKSHMANAN-CHUA CIRCUIT [J].

Ahamed, A. Ishaq ;

Lakshmanan, M. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (06)

[2]

Ascoli A, EUR C CIRC THEOR DES, P1

[3] Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator [J].

Bao, B. C. ;

Wu, P. Y. ;

Bao, H. ;

Xu, Q. ;

Chen, M. .

CHAOS SOLITONS & FRACTALS, 2018, 106 :161-170

[4] Chaotic bursting in memristive diode bridge-coupled Sallen-Key lowpass filter [J].

Bao, Bo-Cheng ;

Wu, Pingye ;

Bao, Han ;

Chen, Mo ;

Xu, Quan .

ELECTRONICS LETTERS, 2017, 53 (16) :1104-1105

[5] Coexistence of multiple bifurcation modes in memristive diode-bridge-based canonical Chua's circuit [J].

Bao, Bocheng ;

Xu, Li ;

Wu, Zhimin ;

Chen, Mo ;

Wu, Huagan .

INTERNATIONAL JOURNAL OF ELECTRONICS, 2018, 105 (07) :1159-1169

[6] A Simple Third-Order Memristive Band Pass Filter Chaotic Circuit [J].

Bao, Bocheng ;

Wang, Ning ;

Xu, Quan ;

Wu, Huagan ;

Hu, Yihua .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64 (08) :977-981

[7] Two-memristor-based Chua's hyperchaotic circuit with plane equilibrium and its extreme multistability [J].

Bao, Bocheng ;

Jiang, Tao ;

Wang, Guangyi ;

Jin, Peipei ;

Bao, Han ;

Chen, Mo .

NONLINEAR DYNAMICS, 2017, 89 (02) :1157-1171

[8] Complex transient dynamics in periodically forced memristive Chua's circuit [J].

Bao, Bocheng ;

Jiang, Pan ;

Wu, Huagan ;

Hu, Fengwei .

NONLINEAR DYNAMICS, 2015, 79 (04) :2333-2343

[9] Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter [J].

Bao, Bocheng ;

Yu, Jingjing ;

Hu, Fengwei ;

Liu, Zhong .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (11)

[10] A chaotic circuit based on Hewlett-Packard memristor [J].

Buscarino, Arturo ;

Fortuna, Luigi ;

Frasca, Mattia ;

Gambuzza, Lucia Valentina .

CHAOS, 2012, 22 (02)

← 1 2 3 4 →