33 citations · 134 across the 30 of their papers we have counts for
3 papers · 1 filter
The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise
Mark Callaway, Thai Son Doan, Jeroen S. W. Lamb +1
We develop the dichotomy spectrum for random dynamical system and demonstrate its use in the characterization of pitchfork bifurcations for random dynamical systems with additive n…
Dynamics of Coupled Maps in Heterogeneous Random Networks
Tiago Pereira, Sebastian van Strien, Jeroen S. W. Lamb
We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes…
A characterization of normal forms for control systems
Boumediene Hamzi, Jeroen S. W. Lamb, Debra Lewis
The study of the behavior of solutions of ODEs often benefits from deciding on a convenient choice of coordinates. This choice of coordinates may be used to "simplify" the function…