Poster: The stabilizing role of multiplicative noise with application to flagella synchronization

We explore parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equations multiplicative noise surprisingly causes the mass of the stationary probability distribution to become increasingly concentrated around the minima of the multiplicative noise term, whilst under quite general conditions exhibiting a kind of intermittent burst like jumps between these minima. As an application we demonstrate that multiplicative noise surprisingly leads to improved synchronisation of the flagella in the sense of the stationary distribution of the phase differences of the two flagella. We derive analytics to show how the maximum and the full width half maximum are reduced for increasing multiplicative noise strength according to the same function. We show that these results are robust when considering additional additive noise.