most citedBifurcations of the Hénon map with additive bounded noise

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.PR2026

Tail behaviour of stationary densities for one-dimensional random diffeomorphisms

Jeroen S. W. Lamb, Guillermo Olicón-Méndez, Martin Rasmussen

We study the asymptotic behaviour of stationary densities of one-dimensional random diffeomorphisms, at the boundaries of their support, which correspond to deterministic fixed poi…

math.DS2026

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…

math.DS20261 cited

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 boundar…

math.DS2026

Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms

Vincent P. H. Goverse, Ale Jan Homburg, Jeroen S. W. Lamb

We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamica…

math.DS2025

Analytic Dependence of the Lyapunov Moment Function and the Projective Stationary Measure for Random Matrix Products

Christopher Chalhoub, Vincent P. H. Goverse, Jeroen S. W. Lamb +1

We consider the product of i.i.d. random matrices sampled according to a probability measure supported on a strongly irreducible and proximal subset of a compact set $S\subset…

math.MG2025

-neighbourhoods in the Plane with a Nowhere-smooth Boundary

Jeroen S. W. Lamb, Martin Rasmussen, Kalle G. Timperi

We give an example of a planar set for which the boundary of its -neighbourhood $E_\varepsilon = \{x \in \mathbb{R}^2…