Anticipating bifurcations of random dynamical systems through tails of stationary densities

Published 16 Oct 2025 in math.DS | (2510.15057v1)

Abstract: We develop an early-warning signal for bifurcations of one-dimensional random difference equations with additive bounded noise, based on the asymptotic behaviour of the stationary density near a boundary of its support. We demonstrate the practical use in numerical examples.

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