SIMPLEST CHAOTIC CIRCUIT

被引：406
作者：
Muthuswamy, Bharathwaj [1 ]
Chua, Leon O. [2 ]
机构：
[1] Milwaukee Sch Engn, Dept Elect Engn, Milwaukee, WI 53202 USA
[2] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 05期
关键词：
Memristor; chaotic circuit; local activity; CHUAS CIRCUIT; MEMRISTOR;
D O I：
10.1142/S0218127410027076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A chaotic attractor has been observed with an autonomous circuit that uses only two energy-storage elements: a linear passive inductor and a linear passive capacitor. The other element is a nonlinear active memristor. Hence, the circuit has only three circuit elements in series. We discuss this circuit topology, show several attractors and illustrate local activity via the memristor's DC v(M) - i(M) characteristic.
引用
收藏
页码：1567 / 1580
页数：14
相关论文
共 31 条
[1]  
*AN DEV AD633 MULT, 2010, AD633 DAT
[2]   The four-element Chua's circuit [J].
Barboza, Ruy ;
Chua, Leon O. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (04) :943-955
[3]   On the defined curves of some differential equations [J].
Bendixson, I .
ACTA MATHEMATICA, 1901, 24 (01) :1-88
[4]  
Chua L.O., 1969, Introduction to nonlinear Network Theory, V1st
[5]   MEMRISTIVE DEVICES AND SYSTEMS [J].
CHUA, LO ;
KANG, SM .
PROCEEDINGS OF THE IEEE, 1976, 64 (02) :209-223
[6]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[7]  
CHUA LO, 1993, IEICE T FUND ELECTR, VE76A, P704
[8]   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
[9]   Local activity is the origin of complexity [J].
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (11) :3435-3456
[10]   SYNTHESIS OF NEW NONLINEAR NETWORK ELEMENTS [J].
CHUA, LO .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (08) :1325-&
1234