Article ID Journal Published Year Pages File Type
865122 Procedia IUTAM 2013 8 Pages PDF
Abstract

Surveying older and newer results about Lyapunov exponents and rotation numbers associated to linear systems with multiplicative noise we observe that in the long run multiplicative noise affects those systems in two antagonistic ways. It induces resonance resulting in a destabilizing tendency or, in the opposite direction, it mixes the modes which produces a stabilizing affect.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)