TY - JOUR
T1 - Phase-locking and suppression states observed in forced synchronization of thermoacoustic oscillator
AU - Hyodo, Hiroaki
AU - Biwa, Tetsushi
N1 - Funding Information:
The authors would like to thank Professor N. Sugimoto of Kansai University for his comments on the draft paper. The study was financially supported by KAKENHI 26286073 and KAKENHI 15K17965.
Publisher Copyright:
©2018 The Physical Society of Japan.
PY - 2018
Y1 - 2018
N2 - This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1: 1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator.
AB - This report describes an experimental method to find a boundary between a phase-locking state and a suppression state in the Arnold tongue of 1: 1 forced synchronization. A thermoacoustic oscillator in a gas-filled resonance tube is used as a test system. It generates longitudinal acoustic oscillations by imposing an axial temperature difference on the tube. While pressure oscillations synchronous to the external periodic force are observed commonly in these regions, distinctive behaviors are found in the transient phase portraits after the synchronized state is temporarily perturbed. Based on the experimentally obtained results, a saddle-node bifurcation line was discovered in the Arnold tongue of the forced thermoacoustic oscillator. The resulting bifurcation diagram is compared with that of the theoretical model of the thermoacoustic oscillator.
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U2 - 10.7566/JPSJ.87.034402
DO - 10.7566/JPSJ.87.034402
M3 - Article
AN - SCOPUS:85043292248
VL - 87
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 3
M1 - 034402
ER -