5 papers · 1 filter
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…
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…
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…
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…
A Girsanov approach to slow parameterizing manifolds in the presence of noise
Mickaël D. Chekroun, Jeroen S. W. Lamb, Christian J. Pangerl +1
This work investigates a three-dimensional slow-fast stochastic system with quadratic nonlinearity and additive noise, inspired by fluid dynamics. The deterministic counterpart exh…