Believe it or not, if you blast enough random noise at two chaotic systems, they'll actually start dancing in perfect sync.
arXiv · March 16, 2026 · 2603.12774
Why it matters
We usually think of noise as a disruptive force that creates disorder. This paper proves that in certain complex systems, adding unpredictable 'jitter' is exactly what is needed to make separate parts settle into a single, unified rhythm.
From the abstract
We investigate synchronization by noise for stochastic differential equations (SDEs) driven by a fractional Brownian motion (fbm) with Hurst index $H\in(0,1)$. Provided that the SDE has a negative top Lyapunov exponent, we show that a weak form of synchronization occurs. To this aim we use tools from stochastic dynamical systems, random dynamical systems and a support theorem for SDEs driven by fractional noise.~In particular, we characterize the support of an invariant measure of a random dynam