Noise dependent synchronization of a degenerate SDE
classification
🧮 math.PR
math.DS
keywords
synchronizationnoisedegeneraterandomweakactsadditiveattractor
read the original abstract
We provide an example of an SDE with degenerate additive noise where synchronization depends on the strength of noise and the number of directions in which the noise acts. Here, synchronization means that the weak random attractor consists of a single random point. Indicated by a change of sign of the top Lyapunov exponent, we prove synchronization respectively no (weak) synchronization.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.