A MODIFIED CHUA'S CIRCUIT WITH AN ATTRACTION-REPULSION FUNCTION

被引：7

作者：

Li, Rong ^{[1
]}

Duan, Zhisheng ^{[1
]}

Wang, Bo ^{[1
]}

Chen, Guanrong ^{[2
]}

机构：

[1] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 07期

基金：

美国国家科学基金会;

关键词：

Attraction-repulsion function; chaos; bifurcation; Lagrange stability; Chua's circuit;

D O I：

10.1142/S0218127408021427

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the original Chua's circuit is modified by substituting its piecewise-linear function with an attraction-repulsion function. Some new complex dynamical behaviors such as chaos are observed through computer simulations. Basic properties of the new circuit are analyzed by means of bifurcation diagrams. Lagrange stability conditions of the circuit are derived. A comparison between this modified Chua's circuit with an attraction-repulsion function and the modified Chua's circuit with a cubic nonlinear function is presented. Moreover, a generalization of the new circuit that can generate multiple scrolls is designed and simulated. Finally, a physical circuit is built to visualize the new system, with some experimental observations reported.

引用

页码：1865 / 1888

页数：24

共 50 条

[21] Bursting oscillations with bifurcations of chaotic attractors in a modified Chua's circuit [J].

Wang, Zhixiang ;

Zhang, Chun ;

Bi, Qinsheng .

CHAOS SOLITONS & FRACTALS, 2022, 165

[22] The four-element Chua's circuit [J].

Barboza, Ruy ;

Chua, Leon O. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (04) :943-955

[23] JUMP RESONANCE IN DRIVEN CHUA'S CIRCUIT [J].

Buscarino, Arturo ;

Fortuna, Luigi ;

Frasca, Mattia .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (08) :2557-2561

[24] A NEW APPROACH ON CHUA'S CIRCUIT ANALYSIS [J].

Ionescu, Alexandra ;

Orosanu, Alina ;

Sanatescu, Diana-Ramona ;

Iordache, Mihai .

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN SERIES C-ELECTRICAL ENGINEERING AND COMPUTER SCIENCE, 2019, 81 (04) :255-264

[25] Simulation of the Chua's Circuit with Audio Output [J].

Guzan, Milan ;

Olejar, Martin ;

Cviklovic, Vladimir ;

Petrzela, Jiri .

PROCEEDINGS OF THE 26TH INTERNATIONAL CONFERENCE RADIOELEKTRONIKA (RADIOELEKTRONIKA 2016), 2016, :71-74

[26] Variations of Boundary Surface in Chua's Circuit [J].

Guzan, Milan .

RADIOENGINEERING, 2015, 24 (03) :814-823

[27] A comparative study on realization of Chua's circuit:: Hybrid realizations of Chua's circuit combining the circuit topologies proposed for Chua's diode and inductor elements [J].

Kiliç, R .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (06) :1475-1493

[28] Bursting oscillations with delayed C-bifurcations in a modified Chua's circuit [J].

Wang, Zhixiang ;

Zhang, Zhengdi ;

Bi, Qinsheng .

NONLINEAR DYNAMICS, 2020, 100 (03) :2899-2915

[29] Hyperchaos in SC-CNN based modified canonical Chua's circuit [J].

Swathy, P. S. ;

Thamilmaran, K. .

NONLINEAR DYNAMICS, 2014, 78 (04) :2639-2650

[30] Bursting oscillations with delayed C-bifurcations in a modified Chua’s circuit [J].

Zhixiang Wang ;

Zhengdi Zhang ;

Qinsheng Bi .

Nonlinear Dynamics, 2020, 100 :2899-2915

← 1 2 3 4 5 →