Repository: Freie Universität Berlin, Math Department

Anticipating bifurcations of random dynamical systems through tails of stationary densities

Hao Tey, Wei and Olicón-Mendez, Guillermo and Lamb, Jeroen S.W. and Aihara, Kazuyuki (2025) Anticipating bifurcations of random dynamical systems through tails of stationary densities. arXiv . (Unpublished)

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Official URL: https://doi.org/10.48550/arXiv.2510.15057

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.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3303
Deposited By: Lukas-Maximilian Jaeger
Deposited On:09 Jan 2026 12:19
Last Modified:09 Jan 2026 12:19

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