49 citations · 187 across the 23 of their papers we have counts for
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math.DS2013★ 3 cited
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…
math.DS2013★ 49 cited
Towards a general theory for coupling functions allowing persistent synchronization
Tiago Pereira, Jaap Eldering, Martin Rasmussen +1
We study synchronisation properties of networks of coupled dynamical systems with interaction akin to diffusion. We assume that the isolated node dynamics possesses a forward invar…