7 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…
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…
On Boundaries of -neighbourhoods of Planar Sets, Part II: Global Structure and Curvature
Jeroen S. W. Lamb, Martin Rasmussen, Kalle Timperi
We study the global topological structure and smoothness of the boundaries of -neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x, E) \leq \v…
On Boundaries of -neighbourhoods of Planar Sets: Singularities, Global Structure, and Curvature
Jeroen S. W. Lamb, Martin Rasmussen, Kalle G. Timperi
We study the geometry, topological properties and smoothness of the boundaries of closed -neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x,…
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…