3 papers
math.DS2021
Dead zones and phase reduction of coupled oscillators
Peter Ashwin, Christian Bick, Camille Poignard
A dead zone in the interaction between two dynamical systems is a region of their joint phase space where one system is insensitive to the changes in the other. These can arise in…
math.DS2019
State-dependent effective interactions in oscillator networks through coupling functions with dead zones
Peter Ashwin, Christian Bick, Camille Poignard
The dynamics of networks of interacting dynamical systems depend on the nature of the coupling between individual units. We explore networks of oscillatory units with coupling func…
math.DS2017
The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks
Jan Philipp Pade, Camille Poignard, Tiago Pereira
We investigate the effects of structural perturbations of both, undirected and directed diffusive networks on their ability to synchronize. We establish a classification of directe…