TY - JOUR
T1 - Intermittency route to self-excited chaotic thermoacoustic oscillations
AU - Guan, Yu
AU - Gupta, Vikrant
AU - Li, Larry K.B.
N1 - Funding Information:
This work was funded by the Research Grants Council of Hong Kong (project nos 16235716, 26202815 and 16210418). V.G. was supported by the National Natural Science Foundation of China (grant nos 11672123 and 91752201), the Department of Science and Technology of Guangdong Province (grant no. 2019B21203001), and the Shenzhen Science and Technology Innovation Committee (grant nos JCYJ20170412151759222 and KQTD20180411143441009).
Publisher Copyright:
© The Author(s), 2020. Published by Cambridge University Press.
PY - 2020
Y1 - 2020
N2 - In nonlinear dynamics, there are three classic routes to chaos, namely the period-doubling route, the Ruelle-Takens-Newhouse route and the intermittency route. The first two routes have previously been observed in self-excited thermoacoustic systems, but the third has not. In this experimental study, we present evidence of the intermittency route to chaos in the self-excited regime of a prototypical thermoacoustic system- A laminar flame-driven Rijke tube. We identify the intermittency to be of type II from the Pomeau-Manneville scenario through an analysis of (i) the probability distribution of the quiescent epochs between successive bursts of chaos, (ii) the first return map, and (iii) the recurrence plot. By establishing the last of the three classic routes to chaos, this study strengthens the universality of how strange attractors arise in self-excited thermoacoustic systems, paving the way for the application of generic suppression strategies based on chaos control.
AB - In nonlinear dynamics, there are three classic routes to chaos, namely the period-doubling route, the Ruelle-Takens-Newhouse route and the intermittency route. The first two routes have previously been observed in self-excited thermoacoustic systems, but the third has not. In this experimental study, we present evidence of the intermittency route to chaos in the self-excited regime of a prototypical thermoacoustic system- A laminar flame-driven Rijke tube. We identify the intermittency to be of type II from the Pomeau-Manneville scenario through an analysis of (i) the probability distribution of the quiescent epochs between successive bursts of chaos, (ii) the first return map, and (iii) the recurrence plot. By establishing the last of the three classic routes to chaos, this study strengthens the universality of how strange attractors arise in self-excited thermoacoustic systems, paving the way for the application of generic suppression strategies based on chaos control.
KW - bifurcation
KW - chaos
UR - http://www.scopus.com/inward/record.url?scp=85084851790&partnerID=8YFLogxK
U2 - 10.1017/jfm.2020.297
DO - 10.1017/jfm.2020.297
M3 - Journal article
AN - SCOPUS:85084851790
SN - 0022-1120
VL - 894
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
M1 - R3
ER -