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3 papers
Anticipating bifurcations of random dynamical systems through tails of stationary densities
Wei Hao Tey, Guillermo Olicón-Méndez, Jeroen S. W. Lamb +1
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…
Bifurcations of the Hénon map with additive bounded noise
Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey
We numerically study bifurcations of attractors of the Hénon map with additive bounded noise with spherical reach. The bifurcations are analysed using a finite-dimensional boundary…
Attractors of Linear Maps with Bounded Noise
Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a co…