The Hall-effect thruster is a prominent space propulsion system, providing a high specific
impulse and thrust-to-power ratio. However, detrimental phenomena occurring in Hall …

We derive and numerically validate a low-order oscillator model to capture the stochastic
dynamics of a prototypical thermoacoustic system (a Rijke tube) undergoing a subcritical …

Self-sustained oscillations are ubiquitous in nature and engineering. In this paper, we
propose a novel output-only system-identification framework for identifying the system …

Addition of particles to a viscoelastic suspension dramatically alters the properties of the
mixture, particularly when it is sheared or otherwise processed. Shear-induced stretching of …

Combustion systems are exposed to intrinsic and extrinsic noise arising from various
sources. Contrasting the conventional viewpoint of treating noise as signal contamination …

We present probabilistic solutions to a pair of mutually coupled Van der Pol oscillators
subjected to stochastic forcing. We consider three different types of coupling: reactive …

Excerpt This book grew out of multiple stimulating conversations with Nathan Kutz while I
was a postdoc at the University of Washington. It began with joking about taking our favorite …

When exposed to an intermediate level of noise, dynamical systems near a Hopf bifurcation
can reveal deterministic information about the impending oscillatory mode. Known as the …

Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data
to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially …

The performance of liquid rocket engines is influenced by randomness arising from various
sources, making deterministic analyses imprecise. Recognizing this issue, we perform a …