SIMPLEST CHAOTIC CIRCUIT

被引：396
|
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 50 条
  • [1] SIMPLEST CHAOTIC NONAUTONOMOUS CIRCUIT
    MATSUMOTO, T
    CHUA, LO
    TANAKA, S
    PHYSICAL REVIEW A, 1984, 30 (02): : 1155 - 1157
  • [2] THE SIMPLEST DISSIPATIVE NONAUTONOMOUS CHAOTIC CIRCUIT
    MURALI, K
    LAKSHMANAN, M
    CHUA, LO
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1994, 41 (06) : 462 - 463
  • [3] Bispectral properties of the simplest dissipative nonautonomous chaotic circuit
    Lipton, JM
    Dabke, KP
    Lakshmanan, M
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (12A): : 2419 - 2425
  • [4] Periodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit
    Marcelo Messias
    Alisson C. Reinol
    Journal of Dynamical and Control Systems, 2023, 29 : 281 - 292
  • [5] Periodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit
    Messias, Marcelo
    Reinol, Alisson C.
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (01) : 281 - 292
  • [6] Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit
    Lai, Qiang
    Wan, Zhiqiang
    Kuate, Paul Didier Kamdem
    Fotsin, Hilaire
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 89
  • [7] Hartley's oscillator: The simplest chaotic two-component circuit
    Tchitnga, Robert
    Fotsin, Hilaire Bertrand
    Nana, Bonaventure
    Fotso, Patrick Herve Louodop
    Woafo, Paul
    CHAOS SOLITONS & FRACTALS, 2012, 45 (03) : 306 - 313
  • [8] Control of Memristor-Based Simplest Chaotic Circuit with One-State Controllers
    Kizmaz, Hakan
    Kocamaz, Ugur Erkin
    Uyaroglu, Yilmaz
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2019, 28 (01)
  • [9] Detect Topological Horseshoes in the Simplest Memristor-Based Chaotic Circuit for Chaos Verification
    Li Qing-du
    Feng Xin
    Hu Shi-yi
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1185 - 1189
  • [10] Fractional-order simplest memristor-based chaotic circuit with new derivative
    Ruan, Jingya
    Sun, Kehui
    Mou, Jun
    He, Shaobo
    Zhang, Limin
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (01): : 1 - 12
12345