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Title: | Forced synchronization of self-excited chaotic thermoacoustic oscillations | Authors: | Guan, Y Yin, B Yang, Z Li, LKB |
Issue Date: | 10-Mar-2024 | Source: | Journal of fluid mechanics, 10 Mar. 2024, v. 982, A9 | Abstract: | We experimentally investigate the forced synchronization of a self-excited chaotic thermoacoustic oscillator with two natural frequencies, f1 and f2. On increasing the forcing amplitude, ef, at a fixed forcing frequency, ff, we find two different types of synchronization: (i) ff/f1 = 1 : 1 or 2 : 1 chaos-destroying synchronization (CDS), and (ii) phase synchronization of chaos (PSC). En route to 1 : 1 CDS, the system transitions from an unforced chaotic state (CH1,2) to a forced chaotic state (CH1,2,f), then to a two-frequency quasiperiodic state where chaos is destroyed (T2 2,f), and finally to a phase-locked period-1 state (P1f). The route to 2 : 1 CDS is similar, but the quasiperiodic state hosts a doubled torus (2T2 2,f) that transforms into a phase-locked period-2 orbit (P2f) when CDS occurs. En route to PSC, the system transitions to a forced chaotic state (CH1,2,f) followed by a phase-locked chaotic state, where f1, f2 and ff still coexist but their phase difference remains bounded. We find that the maximum reduction in thermoacoustic amplitude occurs near the onset of CDS, and that the critical ef required for the onset of CDS does not vary significantly with ff . We then use two unidirectionally coupled Anishchenko–Astakhov oscillators to phenomenologically model the experimental synchronization dynamics, including (i) the route to 1 : 1 CDS, (ii) various phase dynamics, such as phase drifting, slipping and locking, and (iii) the thermoacoustic amplitude variations in the ff /f1–ef plane. This study extends the applicability of open-loop control further to a chaotic thermoacoustic system, demonstrating (i) the feasibility of using an existing actuation strategy to weaken aperiodic thermoacoustic oscillations, and (ii) the possibility of developing new active suppression strategies based on both established and emerging methods of chaos control. | Keywords: | Instability control Chaos |
Publisher: | Cambridge University Press | Journal: | Journal of fluid mechanics | ISSN: | 0022-1120 | EISSN: | 1469-7645 | DOI: | 10.1017/jfm.2024.91 | Rights: | © The Author(s), 2024. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. The following publication Guan, Y., Yin, B., Yang, Z., & Li, L. K. B. (2024). Forced synchronization of self-excited chaotic thermoacoustic oscillations. Journal of Fluid Mechanics, 982, A9 is available at https://doi.org/10.1017/jfm.2024.91. |
Appears in Collections: | Journal/Magazine Article |
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