Noise-induced self-oscillation (flutter) suppression in the Keldysh model

TL;DR

This paper derives an energy evolution equation for a Keldysh model with noise and demonstrates that white noise can suppress self-oscillations when its intensity surpasses a critical threshold.

Contribution

It introduces a new equation for energy evolution in a noisy Keldysh model and shows noise-induced suppression of flutter.

Findings

Self-oscillations are suppressed by sufficiently strong white noise.

A critical noise intensity threshold for suppression is identified.

The model provides insights into noise control of dynamical systems.

Abstract

An equation for the evolution of the energy of a dynamical system (Keldysh model with one degree of freedom), which contains a white noise source, is constructed. It is shown that self-oscillations (flutter) are suppressed if the intensity of white noise exceeds a critical value.