CHAOS OF THE PROPAGATING PULSE WAVE IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS

被引:4
|
作者
Kamiyama, Kyohei [1 ]
Endo, Tetsuro [1 ]
机构
[1] Meiji Univ, Dept Elect & Bioinfomat, Tama Ku, Kawasaki, Kanagawa 2148571, Japan
来源
关键词
Chaotic propagating pulse wave; probability density; one-direction propagation time and distance; logistic map;
D O I
10.1142/S0218127412500915
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, some properties of the chaotic propagating pulse wave in a ring of six-coupled bistable oscillators are investigated. When coupling factor a becomes large beyond a certain critical value, the standing pulse wave converts to a propagating pulse wave. Further, as a is increased, the propagating pulse wave behaves chaotically. We find some interesting properties of the chaotic propagating pulse wave such as random change of propagating direction and stepwise change of pulse position with respect to time. In particular, we notice that the shape of probability density of one-direction propagation time and distance is similar to that of Logistic map.
引用
收藏
页数:7
相关论文
共 28 条
  • [1] Onset of the propagating pulse wave in a ring of coupled bistable oscillators
    Shimizu, Kuniyasu
    Komuro, Motomasa
    Endo, Tetsuro
    IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2011, 2 (01): : 139 - 151
  • [2] BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS - BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION
    Kamiyama, Kyohei
    Komuro, Motomasa
    Endo, Tetsuro
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (05):
  • [3] SUPERCRITICAL PITCHFORK BIFURCATION OF THE QUASI-PERIODIC SWITCHING SOLUTION IN A RING OF SIX-COUPLED, BISTABLE OSCILLATORS
    Kamiyama, Kyohei
    Komuro, Motomasa
    Endo, Tetsuro
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (12):
  • [4] Pulse wave propagation in a large number of coupled bistable oscillators
    Shimizu, Kuniyasu
    Endo, Tetsuro
    Ueyama, Daishin
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2008, E91A (09) : 2540 - 2545
  • [5] Spectral mode decomposition of propagating wave in five-coupled bistable oscillators
    Shimizu, Kuniyasu
    2024 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, ISCAS 2024, 2024,
  • [6] SPATIAL CHAOS IN A CHAIN OF COUPLED BISTABLE OSCILLATORS
    NEKORKIN, VI
    MAKAROV, VA
    PHYSICAL REVIEW LETTERS, 1995, 74 (24) : 4819 - 4822
  • [7] Characteristics of the wave function of coupled oscillators in semiquantum chaos
    Wu, G
    Dong, JM
    PHYSICS LETTERS A, 2002, 300 (2-3) : 199 - 204
  • [8] Characteristics of thc wave function of coupled oscillators in semiquantum chaos
    Hui, YW
    Dong, JM
    Xing, DY
    PHYSICAL REVIEW E, 2000, 62 (05): : 6318 - 6324
  • [9] Analysis of averaging method for propagating and standing waves in five mutually-coupled bistable oscillators
    Shimizu, Kuniyasu
    IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2022, 13 (03): : 558 - 569
  • [10] Bistable phase synchronization and chaos in a system of coupled van der Pol-Duffing oscillators
    Kozlov, AK
    Sushchik, MM
    Molkov, YI
    Kuznetsov, AS
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (12): : 2271 - 2277