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Anticipating bifurcations of random dynamical systems through tails of stationary densities (2510.15057v1)
Published 16 Oct 2025 in math.DS
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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