BIFURCATION AND CHAOS OF THE SINUSOIDALLY-DRIVEN CHUA'S CIRCUIT

被引:41
作者
Murali, K. [1 ]
Lakshmanan, M. [1 ]
机构
[1] Bharathidasan Univ, Dept Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, Tamil Nadu, India
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 02期
关键词
D O I
10.1142/S0218127491000300
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The effect of an external sinusoidal signal on the familiar Chua's piecewise-linear autonomous circuit is experimentally investigated. Under the influence of such a periodic excitation an immense variety of bifurcation phenomena like period doubling, period adding, quasiperiodicity, and intermittency has been observed. Also, equal periodic bifurcation, hysteresis, and coexistence of multiple attractors are reported. A two-parameter (drive amplitude-drive frequency) bifurcation diagram is constructed, which classifies the observed rich bifurcation sequences and chaotic structures.
引用
收藏
页码:369 / 384
页数:16
相关论文
共 22 条
[1]  
[Anonymous], 1986, COLLAPSE TORI GENESI
[2]  
Chua L. O., 1987, LINEAR NONLINEAR CIR
[3]   DEVILS STAIRCASE ROUTE TO CHAOS IN A NONLINEAR CIRCUIT [J].
CHUA, LO ;
YAO, Y ;
YANG, Q .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1986, 14 (04) :315-329
[4]   THE DOUBLE SCROLL FAMILY .1. RIGOROUS PROOF OF CHAOS [J].
CHUA, LO ;
KOMURO, M ;
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1072-1097
[5]   POSTPONEMENT OF HOPF BIFURCATIONS BY MULTIPLICATIVE COLORED NOISE [J].
FRONZONI, L ;
MANNELLA, R ;
MCCLINTOCK, PVE ;
MOSS, F .
PHYSICAL REVIEW A, 1987, 36 (02) :834-841
[6]   TYPE-III INTERMITTENCY IN A COUPLED NONLINEAR LCR CIRCUIT [J].
FUKUSHIMA, K ;
YAMADA, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (11) :4055-4062
[7]   STUDIES OF RETURN MAPS, CHAOS, AND PHASE-LOCKED STATES IN A CURRENT-DRIVEN JOSEPHSON-JUNCTION SIMULATOR [J].
HE, DR ;
YEH, WJ ;
KAO, YH .
PHYSICAL REVIEW B, 1985, 31 (03) :1359-1373
[8]   PERSISTENT PROPERTIES OF CRISES IN A DUFFING OSCILLATOR [J].
KAO, YH ;
HUANG, JC ;
GOU, YS .
PHYSICAL REVIEW A, 1987, 35 (12) :5228-5232
[9]   VANDERPOL AND CHAOS [J].
KENNEDY, MP ;
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (10) :974-980
[10]  
KENNEDY MP, 1989, IEEE T CIRCUITS SYST, V36, P1133