SIMPLEST CHAOTIC CIRCUIT

被引:401
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
    Barboza, Ruy
    Chua, Leon O.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (04): : 943 - 955
  • [3] On the defined curves of some differential equations
    Bendixson, I
    [J]. ACTA MATHEMATICA, 1901, 24 (01) : 1 - 88
  • [4] Chua L.O., 1969, Introduction to nonlinear Network Theory, V1st
  • [5] MEMRISTIVE DEVICES AND SYSTEMS
    CHUA, LO
    KANG, SM
    [J]. PROCEEDINGS OF THE IEEE, 1976, 64 (02) : 209 - 223
  • [6] MEMRISTOR - MISSING CIRCUIT ELEMENT
    CHUA, LO
    [J]. 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
    CHUA, LO
    KOMURO, M
    MATSUMOTO, T
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11): : 1072 - 1097
  • [9] Local activity is the origin of complexity
    Chua, LO
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (11): : 3435 - 3456
  • [10] SYNTHESIS OF NEW NONLINEAR NETWORK ELEMENTS
    CHUA, LO
    [J]. PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (08): : 1325 - &