Phase Transitions Driven by State-Dependent Poisson Noise

The effect of a state dependence of the Poissin noise was analyzed to model the persistence of climatic anomalies in land-atmosphere interaction These systems may give rise to bimodal probability distributions, while the state variable randomly persists around the preferential states because of transient dynamics that are opposite to the long-term behavior. Mean-field analysis and numerical simulations of the reveal a symmetry-breaking bifurcation for sufficiently strong spatial diffusive couplings and intermediate noise intensities. The results so obtained are relevant for the problem of land-atmosphere interaction.