Chaos can imply periodicity in coupled oscillators

被引：9
|
作者：
Pisarchik, A. N. [1 ,2 ]
Bashkirtseva, I. [3 ]
Ryashko, L. [3 ]
机构：
[1] Tech Univ Madrid, Ctr Biomed Technol, Campus Montegancedo, Madrid 28223, Spain
[2] Ctr Invest Opt, Loma Bosque 115, Guanajuato 37150, Mexico
[3] Ural Fed Univ, Inst Math & Comp Sci, Ekaterinburg, Russia
来源：
EPL | 2017年 / 117卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
SYSTEMS;
D O I：
10.1209/0295-5075/117/40005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We demonstrate that under certain circumstances a chaotic system driven by another chaotic system implies stable periodicity. This effect of enhancing coherence in the response system can occur when the uncoupled response system is close to a periodic window and the coupling strength is sufficiently small. The effect is illustrated with logistic maps and Rulkov maps unidirectionally coupled by either their functions or variables. Copyright (C) EPLA, 2017
引用
收藏
页数：7
相关论文
共 50 条
  • [1] PERIODICITY AND CHAOS IN COUPLED NON-LINEAR OSCILLATORS
    GOLLUB, JP
    BRUNNER, TO
    DANLY, BG
    [J]. SCIENCE, 1978, 200 (4337) : 48 - 50
  • [2] The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators
    Awal, Naziru M.
    Bullara, Domenico
    Epstein, Irving R.
    [J]. CHAOS, 2019, 29 (01)
  • [3] TRANSITION FROM QUASI-PERIODICITY TO CHAOS IN COUPLED OSCILLATORS
    DOUMBOUYA, SI
    SCHNEIDER, FW
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1993, 97 (27): : 6945 - 6947
  • [4] TRANSITION FROM QUASI-PERIODICITY TO CHAOS IN A SYSTEM OF COUPLED NON-LINEAR OSCILLATORS
    SANO, M
    SAWADA, Y
    [J]. PHYSICS LETTERS A, 1983, 97 (03) : 73 - 76
  • [5] Phase chaos in coupled oscillators
    Popovych, OV
    Maistrenko, YL
    Tass, PA
    [J]. PHYSICAL REVIEW E, 2005, 71 (06):
  • [6] Controlling chaos in systems of coupled oscillators
    Núñez, M
    Mato, G
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 307 (3-4) : 315 - 330
  • [7] Chaos and localization in coupled quartic oscillators
    Santhanam, MS
    Sheorey, VB
    Lakshminarayan, A
    [J]. PRAMANA-JOURNAL OF PHYSICS, 1997, 48 (02): : 439 - 457
  • [8] SYNCHRONIZATION AND CHAOS IN COUPLED NONLINEAR OSCILLATORS
    WALLER, I
    KAPRAL, R
    [J]. PHYSICS LETTERS A, 1984, 105 (4-5) : 163 - 168
  • [9] Chaos control and synchronization in coupled oscillators
    Astakhov, VV
    Silchenko, AN
    Strelkova, GI
    Shabunin, AV
    Anishchenko, VS
    [J]. RADIOTEKHNIKA I ELEKTRONIKA, 1996, 41 (11): : 1323 - 1331
  • [10] Chaos and hyperchaos in coupled Kerr oscillators
    Grygiel, K
    Szlachetka, P
    [J]. OPTICS COMMUNICATIONS, 2000, 177 (1-6) : 425 - 431
12345