EFFECT OF NOISE COLOR ON FRACTAL SIGNATURE AND RELATED PRECURSORS OF THERMOACOUSTIC INSTABILITY

Vishnoi，Neha1; Gupta，Vikrant2; Saurabh，Aditya3; Kabiraj，Lipika1

2023

2329-3675

Proceedings of the International Congress on Sound and Vibration

In this work, we numerically analyze Van der Pol oscillator systems (prototypical thermoacoustic system), undergoing supercritical and subcritical Hopf bifurcations, subjected to colored noise. We focus on the effect of noise color (or'noise correlation time') variation on the multifractal measures which are used as early warning indicators of thermoacoustic instability. We model the additive colored noise as Ornstein-Uhlenbeck (OU) process with varying correlation times. We find that the multifractal measures such as the Hurst exponent and the multifractal spectrum width reduce as the systems approach the instability if noise color is kept constant during the control parameter variation. In real systems, noise color can also change with the control parameter. In this scenario, the Hurst exponent and the multifractal spectrum width will increase with increase in noise color and such measures may not be employed as the early warning indicators at larger correlation times. We also find that the colored noise intensity, at a constant control parameter and noise color, does not significantly affect the multifractal measures.

Hopf bifurcation Hurst exponent Multifractality Ornstein-Uhlenbeck process

Others

English

2-s2.0-85170643629

Scopus

1.Indian Institute of Technology,Ropar,Rupnagar,140001 PB,India
2.Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
3.Indian Institute of Technology,Kanpur,UP,208016,India

Vishnoi，Neha,Gupta，Vikrant,Saurabh，Aditya,et al. EFFECT OF NOISE COLOR ON FRACTAL SIGNATURE AND RELATED PRECURSORS OF THERMOACOUSTIC INSTABILITY[C],2023.