What adaptive neuronal networks teach us about power grids

Power grid networks, as well neuronal networks with synaptic plasticity, describe real-world systems of tremendous importance for our daily life. The investigation these seemingly unrelated types dynamical has attracted increasing attention over the last decade. In this paper, we provide insight into fundamental relation between two networks. For this, consider well-established models based on phase oscillators and show their intimate relation. particular, prove that oscillator inertia can be viewed a particular class adaptive This holds even more general classes power include voltage dynamics. As an immediate consequence relation, find novel type multicluster state inertia. Moreover, phenomenon cascading line failure in grids is translated network.