Thermoacoustic instability in turbulent combustors is a nonlinear phenomenon resulting
from the interaction between acoustics, hydrodynamics, and the unsteady flame. Over the …

Dynamical systems theory has emerged as an interdisciplinary area of research to
characterize the complex dynamical transitions in real-world systems. Various nonlinear …

Intermittent bursting in the fractional difference logistic map of matrices is studied in this
paper. Analytic relationships governing the dynamics of the fractional difference map of …

The mechanism of compound bursting behaviors of a forced Mathieu-van der Pol-Duffing
system is explored. Four compound bursting types and one typical relaxation oscillation, ie …

The purpose of this paper aims to explore the mechanism of several different periodic
bursting patterns based on a Mathieu-van der Pol-Duffing energy harvester with parameter …

Intermittency observed prior to thermoacoustic instability is characterized by the occurrence
of bursts of high-amplitude periodic oscillations (active state) amidst epochs of low …

In this paper, we present two bursting patterns induced by pulse-shaped explosion (PSE)
and two bursting patterns triggered by non-PSE based upon a van der Pol-Mathieu oscillator …

In this experimental study on a laboratory-scale turbulent annular combustor with sixteen
swirl-stabilized burners, we study the flame-flame and flame-acoustic interactions during …

Amplitude modulation, a recently focused mode of modulation in fast–slow dynamics, plays
a crucial role in governing the behaviors of relaxation oscillations. This modulation mode …

We, herein, present a new model based on the framework of synchronization to describe a
thermoacoustic system and capture the multiple bifurcations that such a system undergoes …