# Early-warning signals for bifurcations in random dynamical systems with bounded noise

@article{Kuehn2018EarlywarningSF, title={Early-warning signals for bifurcations in random dynamical systems with bounded noise}, author={Christian Kuehn and Giuseppe Malavolta and Martin Rasmussen}, journal={Journal of Mathematical Analysis and Applications}, year={2018} }

We consider discrete-time one-dimensional random dynamical systems with bounded noise, which generate an associated set-valued dynamical system. We provide necessary and sufficient conditions for a discontinuous bifurcation of a minimal invariant set of the set-valued dynamical system in terms of the derivatives of the so-called extremal maps. We propose an algorithm for reconstructing the derivatives of the extremal maps from a time series that is generated by iterations of the original random…

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