Bifurcation diagram of coupled thermoacoustic chaotic oscillators

被引:5
作者
Delage, Remi [1 ]
Takayama, Yusuke [1 ]
Biwa, Tetsushi [1 ]
机构
[1] Tohoku Univ, Dept Mech Engn, Sendai, Miyagi 9808579, Japan
关键词
ON-OFF INTERMITTENCY; PHASE SYNCHRONIZATION; LAG SYNCHRONIZATION; STABILITY THEORY; SYSTEMS; INSTABILITY; MOTION; PLASMA;
D O I
10.1063/1.5037371
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A thermoacoustic chaotic oscillator is a fluid system that presents thermally induced chaotic oscillations of a gas column. This study experimentally reports a bifurcation diagram when two thermoacoustic chaotic oscillators are dissipatively coupled to each other. The two-parameter bifurcation diagram is constructed by varying the frequency mismatch and the coupling strength. Complete chaos synchronization is observed in the region with a frequency mismatch of less than 1% of the uncoupled oscillator. In other regions, synchronization between quasiperiodic oscillations and that between limit-cycle oscillations and amplitude death are observed as well as asynchronous states. Published by AIP Publishing.
引用
收藏
页数:7
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共 43 条
  • [1] STABILITY CURVES FOR A THERMOACOUSTIC PRIME MOVER
    ATCHLEY, AA
    KUO, FM
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1994, 95 (03) : 1401 - 1404
  • [2] Nonlinear dynamics of a self-excited thermoacoustic system subjected to acoustic forcing
    Balusamy, Saravanan
    Li, Larry K. B.
    Han, Zhiyi
    Juniper, Matthew P.
    Hochgreb, Simone
    [J]. PROCEEDINGS OF THE COMBUSTION INSTITUTE, 2015, 35 : 3229 - 3236
  • [3] Phase synchronization in the perturbed Chua circuit
    Baptista, MS
    Silva, TP
    Sartorelli, JC
    Caldas, IL
    Rosa, E
    [J]. PHYSICAL REVIEW E, 2003, 67 (05): : 5 - 056212
  • [4] Amplitude Death in Coupled Thermoacoustic Oscillators
    Biwa, Tetsushi
    Tozuka, Satoshi
    Yazaki, Taichi
    [J]. PHYSICAL REVIEW APPLIED, 2015, 3 (03):
  • [5] Observation of thermoacoustic shock waves in a resonance tube (L)
    Biwa, Tetsushi
    Sobata, Kazuya
    Otake, Shota
    Yazaki, Taichi
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2014, 136 (03) : 965 - 968
  • [6] Characterization of intermittent lag synchronization
    Boccaletti, S
    Valladares, DL
    [J]. PHYSICAL REVIEW E, 2000, 62 (05): : 7497 - 7500
  • [7] Experimental observation of different types of chaotic synchronization in an electrochemical cell
    Cruz, J. M.
    Rivera, M.
    Parmananda, P.
    [J]. PHYSICAL REVIEW E, 2007, 75 (03):
  • [8] On-off intermittency in coupled chaotic thermoacoustic oscillations
    Delage, Remi
    Takayama, Yusuke
    Biwa, Tetsushi
    [J]. CHAOS, 2017, 27 (04)
  • [9] DeSchazer D. J., 2001, PHYS REV, V87
  • [10] STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS
    FUJISAKA, H
    YAMADA, T
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01): : 32 - 47