In this work, we propose a multilayer control protocol for the synchronization of network dynamical systems under limited resources. In addition to the layer where the interactions of the system take place, i.e., the backbone network, we propose a second, adaptive layer, where the edges are added or removed according to the edge snapping mechanism. Different from classic edge snapping, the inputs to the edge dynamics are modified to cap the number of edges that can be activated. After studying the local stability of the overall network dynamics, we illustrate the effectiveness of the approach on a network of Rössler oscillators and then show its robustness in a more general setting, exemplified with a model of the Italian high-voltage power grid.
Synchronizing network systems in the presence of limited resources via edge snapping
Note: This article is part of the Focus Issue, Non-smooth Dynamics.
Alessandra Corso, Lucia Valentina Gambuzza, Pietro De Lellis, Mattia Frasca; Synchronizing network systems in the presence of limited resources via edge snapping. Chaos 1 January 2023; 33 (1): 013123. https://doi.org/10.1063/5.0093560
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