25 citations · 25 across the 3 of their papers we have counts for
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Dynamical characterization of stochastic bifurcations in a random logistic map
Yuzuru Sato, Thai Son Doan, Jeroen S. W. Lamb +1
The emergence of noise-induced chaos in a random logistic map with bounded noise is understood as a two-step process consisting of a topological bifurcation flagged by a zero-cross…
Conditioned Lyapunov exponents for random dynamical systems
Maximilian Engel, Jeroen S. W. Lamb, Martin Rasmussen
We introduce the notion of Lyapunov exponents for random dynamical systems, conditioned to trajectories that stay within a bounded domain for asymptotically long times. This is mot…
Early-warning signals for bifurcations in random dynamical systems with bounded noise
Christian Kuehn, Giuseppe Malavolta, Martin Rasmussen
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…