33 citations · 134 across the 30 of their papers we have counts for
30 papers
Event-Triggered Stabilisation of Desynchronisation in Networked Oscillatory Systems
Luan Yang, Jingdong Zhang, Jeroen Lamb +3
Pathological neuronal synchrony provides one practical motivation for studying sparse desynchronisation control in networked oscillatory systems, particularly in applications where…
Noise-induced chaos: a conditioned random dynamics perspective
Bernat Bassols-Cornudella, Jeroen S. W. Lamb
We consider transitions to chaos in random dynamical systems induced by an increase of noise amplitude. We show how the emergence of chaos (indicated by a positive Lyapunov exponen…
Learning Lie Group Symmetry Transformations with Neural Networks
Alex Gabel, Victoria Klein, Riccardo Valperga +4
The problem of detecting and quantifying the presence of symmetries in datasets is useful for model selection, generative modeling, and data analysis, amongst others. While existin…
Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to add…
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb +1
In this paper, we consider absorbing Markov chains admitting a quasi-stationary measure on where the transition kernel admits an eigenfunction $0\leq η\i…
Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy
Ale Jan Homburg, Jeroen Lamb, Dmitry Turaev
We consider reversible vector fields in such that the set of fixed points of the involutory reversing symmetry is -dimensional. Let such system have a smooth o…