Quasi-reversible parametric instability in presence of noise

TL;DR

This paper investigates how spatio-temporal fluctuations influence quasi-reversible systems with a quintic bifurcation, revealing significant changes in the bifurcation behavior through experiments and theoretical modeling.

Contribution

It provides a combined experimental and theoretical analysis of noise effects on bifurcation dynamics in parametrically driven systems, highlighting the role of vortex-induced fluctuations.

Findings

Fluctuations modify the bifurcation diagram of surface waves.

Noise alters the saturation mechanism in the system.

Theoretical modeling explains the influence of vortex flow on surface wave dynamics.

Abstract

We present an experimental and theoretical study of the effect of spatio-temporal fluctuations in quasi-reversible systems displaying a spatial quintic supercritical bifurcation. The saturation mechanism is drastically changed by the inclusion of fluctuations. Experimentally, we observe the modification of the bifurcation diagram of parametrically amplified surface waves as spatiotemporal fluctuations stemming from an underlying vortex flow are included. Theoretically, we characterize the noise-dependent effective dynamics in a model system, the parametrically driven nonlinear Schr\"odinger equation, subjected to noise which allows us to rationalize the effect of the underlying vortex flow on the surface waves