Forced synchronization of quasiperiodic oscillations

被引：25
作者：
Stankevich, N. V. [1 ]
Kurths, J.
Kuznetsov, A. P.
机构：
[1] Saratov State Tech Univ, Saratov 410054, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 01期
关键词：
Dynamical system; Quasiperiodic oscillations; Synchronization; Lyapunov exponents; COUPLED OSCILLATORS; PHASE DYNAMICS; SYSTEMS; CHAOS;
D O I：
10.1016/j.cnsns.2014.04.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model of a generator of quasiperiodic oscillations forced by a periodic pulse sequence is studied. We analyze synchronization when the autonomous generator demonstrates periodic, quasiperiodic, respective weakly chaotic oscillations. For the forced quasiperiodic oscillations a picture of synchronization, consisting of small-scale and large-scale structures was uncovered. It even includes the existence of stable the three-frequency Lori. For the regime of weak chaos a partial destruction of this features and of the regime of three-frequency tori are found. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：316 / 323
页数：8
相关论文
共 50 条
  • [21] Quasiperiodic energy harvesting in a forced and delayed Duffing harvester device
    Ghouli, Zakaria
    Hamdi, Mustapha
    Lakrad, Faouzi
    Belhaq, Mohamed
    JOURNAL OF SOUND AND VIBRATION, 2017, 407 : 271 - 285
  • [22] A design principle underlying the synchronization of oscillations in cellular systems
    Kim, Jeong-Rae
    Shin, Dongkwan
    Jung, Sung Hoon
    Heslop-Harrison, Pat
    Cho, Kwang-Hyun
    JOURNAL OF CELL SCIENCE, 2010, 123 (04) : 537 - 543
  • [23] On synchronization of a forced delay dynamical system via the Galerkin approximation
    Ghosh, Dibakar
    Saha, Papri
    Chowdhury, A. Roy
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (06) : 928 - 941
  • [24] Forced synchronization of an oscillator with a line of equilibria
    Korneev, Ivan A.
    Slepnev, Andrei, V
    Semenov, Vladimir V.
    Vadivasova, Tatiana E.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2020, 229 (12-13) : 2215 - 2224
  • [25] Antiperiodic oscillations in a forced Duffing oscillator
    Shaw, Pankaj Kumar
    Janaki, M. S.
    Iyengar, A. N. S.
    Singla, Tanu
    Parmananda, P.
    CHAOS SOLITONS & FRACTALS, 2015, 78 : 256 - 266
  • [26] Nonlinear forced oscillations of piezoelectric resonators
    Li, H
    Preidikman, S
    Balachandran, B
    SMART STRUCTURES AND MATERIALS 2005: MODELING, SIGNAL PROCESSING, AND CONTROL, 2005, 5757 : 30 - 41
  • [27] Enhanced Synchronization of Intercellular Calcium Oscillations by Noise Contaminated Signals
    ZHANG Ji-qian CHEN Han-Shuang WANG Mao-Sheng College of Physics and Electronic Information
    Communications in Theoretical Physics, 2008, 50 (10) : 903 - 906
  • [28] The chaotic synchronization of a controlled pendulum with a periodically forced, damped Duffing oscillator
    Luo, Albert C. J.
    Min, Fuhong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (12) : 4704 - 4717
  • [29] Constraints on charged black hole parameters using quasiperiodic oscillations data
    Rayimbaev, Javlon
    Ahmedov, Bobomurat
    Bokhari, Ashfaque H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2022, 31 (11):
  • [30] Forced synchronization in Morris-Lecar neurons
    Kitajima, Hiroyuki
    Kurths, Juergen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (10): : 3523 - 3528
12345