121 citations · 237 across the 4 of their papers we have counts for
4 papers
Early warning signal for interior crises in excitable systems
Rajat Karnatak, Holger Kantz, Stephan Bialonski
The ability to reliably predict critical transitions in dynamical systems is a long-standing goal of diverse scientific communities. Previous work focused on early warning signals…
Revisiting linear augmentation for stabilizing stationary solutions: potential pitfalls and their application
Rajat Karnatak
Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems…
Route to extreme events in excitable systems
Rajat Karnatak, Gerrit Ansmann, Ulrike Feudel +1
Systems of FitzHugh-Nagumo units with different coupling topologies are capable of self-generating and -terminating strong deviations from their regular dynamics that can be regard…
Extreme events in excitable systems and mechanisms of their generation
Gerrit Ansmann, Rajat Karnatak, Klaus Lehnertz +1
We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular d…