[1] Lieuwen T., Yang V., Combustion instabilities in gas turbine engines: Operational experience, fundamental mechanisms, and modeling. Progress in Astronautics and Aeronautics, 2005, AIAA, Inc. USA.
[2] Lieuwen T., Unsteady combustor physics. 2012, UK, Cambridge University Press, Cambridge.
[3] Huang Y., Yang V., Dynamics and stability of lean-premixed swirl-stabilized combustion. Progress in Energy and Combustion Science, 2009, 35: 293–364.
[4] Wang X., Lin Y., Zhang C., et al., Effect of swirl cup’s secondary swirler on flow field and ignition performance. Journal of Thermal Science, 2015, 24: 488–495.
[5] Xing S., Fang A., Song Q., et al., Experimental investigation of dynamic and emission characteristics of a DLE gas turbine combustor. Journal of Thermal Science, 2013, 22: 180–185.
[6] Jacqueline O., Vishal A., Timothy L., Transverse combustion instabilities: Acoustic, fluid mechanic, and flame processes. Progress in Energy and Combustion Science, 2015, 49: 1–39.
[7] Lin J., Shi Z., Lai H., Numerical study of controlling jet flow and noise using pores on nozzle inner wall. Journal of Thermal Science, 2018, 27: 146–156.
[8] Zhao D., Ephraim G., Philip D., A review of cavity-based trapped vortex, ultra-compact, high-g, inter-turbine combustors. Progress in Energy and Combustion Science, 2018, 66: 42–82.
[9] Juniper M., Sujith R., Sensitivity and nonlinearity of thermoacoustic oscillations. Annual Review of Fluid Mechanics, 2018, 50: 661–689.
[10] Saravanan B., Larry K., Han. Z., et al., Nonlinear dynamics of a self-excited thermoacoustic system subjected to acoustic forcing. Proceedings of the Combustion Institute, 2015, 35: 3229–3236.
[11] Kashinath K., Larry K., Juniper M., Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control. Journal of Fluid Mechanics, 2018, 838: 690–714.
[12] Guan Y., He W., Murugesan M., et al., Control of self-excited thermoacoustic oscillations using transient forcing, hysteresis and mode switching. Combustion and Flame, 2019, 202: 262–275.
[13] Jegadeesan V., Sujith R., Experimental investigation of noise induced triggering in thermoacoustic systems. Proceedings of the Combustion Institute, 2013, 34: 3175–3183.
[14] Vishnu R., Sujith R., Aghalayam P., Role of flame dynamics on the bifurcation characteristics of a ducted V-flame. Combustion Science and Technology, 2015, 187: 894–905.
[15] Nair V., Sujith R., Intermittency as a transition state in combustor dynamics: An explanation for flame dynamics nearing lean blowout. Combustion Science and Technology, 2015, 187: 1821–1835.
[16] Lipika K., Sujith R., Nonlinear self-excited thermoacoustic oscillations: intermittency and flame blowout. Journal of Fluid Mechanics, 2012, 713: 376–397.
[17] Kabiraj L., Saurabh A., Wahi P., et al., Route to chaos for combustion instability in ducted laminar premixed flames. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012, 22: 023129.
[18] Nair V., Sujith R., A reduced-order model for the onset of combustion instability: physical mechanisms for intermittency and precursors. Proceedings of the Combustion Institute, 2015, 35: 3193–3200.
[19] Unni V., Sujith R., Flame dynamics during intermittency in a turbulent combustor. Proceedings of the Combustion Institute, 2017, 36: 3791–3798.
[20] Nair V., Sujith R., Identifying homoclinic orbits in the dynamics of intermittent signals through recurrence quantification. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23(3): 033136.
[21] Kabiraj L., Saurabh A., Nawroth H., et al., Recurrence analysis of combustion noise. AIAA Journal, 2015, 53: 1199–1210.
[22] Karthik K., Waugh I., Juniper M., Nonlinear self-excited thermoacoustic oscillations of a ducted premixed flame: bifurcations and routes to chaos. Journal of Fluid Mechanics, 2014, 761: 399–430.
[23] Gotoda H., Nikimoto H., Miyano T., et al., Dynamic properties of combustion instability in a lean premixed gas-turbine combustor. Chaos, 2011, 21: 013124.
[24] Domen S., Gotoda H., Kuriyama T., et al., Detection and prevention of blowout in a lean premixed gas-turbine model combustor using the concept of dynamical system theory. Proceedings of the Combustion Institute, 2015, 35: 3245–3253.
[25] Kobayashi H., Gotoda H., Tachibana S., et al., Detection of frequency-mode-shift during thermoacoustic combustion oscillations in a staged aircraft engine model combustor. Journal of Applied Physics, 2017, 122: 224904.
[26] Li L., Juniper M., Lock-in and quasiperiodicity in hydrodynamically self-excited flames: Experiments and modelling. Proceedings of the Combustion Institute, 2013, 34: 947–954.
[27] Li Ping., Yang E., Song S., et al., Analysis of the dynamic characteristics of combustion instabilities in a pre-mixed lean-burn natural gas engine. Applied Energy, 2016, 183: 746–759.
[28] Taghizadeh A., Mahdavian A., Fault detection of injectors in diesel engines using vibration time-frequency analysis. Applied Acoustics, 2019, 143: 48–58.
[29] Wu G., Lu Z., Guan Y., et al., Characterizing nonlinear interaction between a premixed swirling flame and acoustics: heat-driven acoustic mode switching and triggering. Energy, 2018, 158: 546–554.
[30] Mondal S., Mukhopadhyay A., Sen S., Dynamic characterization of a laboratory-scale pulse combustor. Combustion Science and Technology, 2014, 186: 139–152.
[31] Sen U., Gangopadhyay T., Bhattacharya C., et al., Dynamic characterization of a ducted inverse diffusion flame using recurrence analysis. Combustion Science and Technology, 2018, 190: 32–56.
[32] Guan Y., Liu P., Jin B., et al., Nonlinear time-series analysis of thermoacoustic oscillations in a solid rocket motor. Experimental Thermal and Fluid Science, 2018, 98: 217–226.
[33] Ahn B., Lee J., Jung S., et al., Nonlinear mode transition mechanisms of a self-excited Jet A-1 spray flame. Combustion and Flame, 2019, 203: 170–179.
[34] Zhou H., Huang Y., Meng S., Response of non-premixed swirl-stabilized flames to acoustic excitation and jet in cross-flow perturbations. Experimental Thermal and Fluid Science, 2017, 82: 124–135.
[35] Zhou H., Meng S., Tao C., et al., Study of burner geometry effects on non-premixed flame response under acoustic excitation. Journal of Low Frequency Noise, Vibration and Active Control, 2019, 38: 3–17.
[36] Kantz H., Schreiber T., Nonlinear time series analysis. Cambridge University Press, 2003, Cambridge, UK.
[37] Marwan N., Romano M., Thiel M., et al., Recurrence plots for the analysis of complex systems. Physics Reports, 2007, 438: 237–329.
[38] Zou Y., Donner R., Norbert M., et al., Complex network approaches to nonlinear time series analysis. Physics Reports, 2019, 787: 1–97.
[39] COMSOL Multiphysics. Acoustic Module Minicourse, 2020.
[40] Oh S., Shin Y., Kim Y., Stabilization effects of perforated plates on the combustion instability in a lean premixed combustor. Applied Thermal Engineering, 2016, 107: 508–515.
[41] Laera D., Campa G., Camporeale S., A finite element method for a weakly nonlinear dynamic analysis and bifurcation tracking of thermo-acoustic instability in longitudinal and annular combustors. Applied Energy, 2017, 187: 216–227.
[42] Kim S., Kim D., Cha D., Finite element analysis of self-excited instabilities in a lean premixed gas turbine combustor. International Journal of Heat and Mass Transfer, 2018, 120: 350–360.
[43] Zargar O., Huang R., Hsu C., Flames of swirling double-concentric jets subject to acoustic excitation at resonance. Journal of Thermal Science and Engineering Applications, 2019, 11(3): 031004.
[44] Zargar O., Huang R., Hsu C., Effect of acoustic excitation on flames of swirling dual-disk double-concentric jets. Experimental Thermal and Fluid Science, 2019, 100: 337–348.
[45] Loretero M., Huang R., Effects of acoustic excitation on a swirling diffusion flame. Journal of Engineering for Gas Turbines and Power, 2010, 132: 1113–1122.
