62 citations · 255 across the 10 of their papers we have counts for
3 papers · 1 filter
Cycle flows and multistabilty in oscillatory networks: an overview
Debsankha Manik, Marc Timme, Dirk Witthaut
The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all gener…
Network susceptibilities: theory and applications
Debsankha Manik, Martin Rohden, Henrik Ronellenfitsch +4
We introduce the concept of network susceptibilities quantifying the response of the collective dy- namics of a network to small parameter changes. We distinguish two types of susc…
Dual theory of transmission line outages
Henrik Ronellenfitsch, Debsankha Manik, Jonas Hörsch +2
A new graph dual formalism is presented for the analysis of line outages in electricity networks. The dual formalism is based on a consideration of the flows around closed cycles i…