3 papers
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.DS2026
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.DS2025
Smooth Persistence of Attractors for Set-Valued Dynamical Systems: A Boundary Map Approach
K. Kourliouros, J. S. W. Lamb, M. Rasmussen +3
We study the problem of persistence of attractors with smooth boundary for a class of set-valued dynamical systems that naturally arise in the context of random and control dynamic…