Assessing the impact of Byzantine attacks on coupled phase oscillators

Abstract

For many coupled dynamical systems, the interaction is the outcome of the measurement that each unit has of the others as e.g. in modern inverter-based power grids, autonomous vehicular platoons or swarms of drones, or it is the results of physical flows. Synchronization among all the components of these systems is of primal importance to avoid failures. The overall operational state of these systems therefore crucially depends on the correct and reliable functioning of the individual elements as well as the information they transmit through the network. Here, we investigate the effect of Byzantine attacks where one unit does not behave as expected, but is controlled by an external attacker. For such attacks, we assess the impact on the global collective behavior of nonlinearly coupled phase oscillators. We relate the synchronization error induced by the input signal to the properties of the attacked node. This allows to anticipate the potential of an attacker and identify which network components to secure.

arXiv comment9 pages, 5 figures

References in corpus (7)

• A model for cascading failures in complex networks
• The Key Player Problem in Complex Oscillator Networks and Electric Power Grids: Resistance Centralities Identify Local Vulnerabilities
• Robustness of Synchrony in Complex Networks and Generalized Kirchhoff Indices
• A Laplacian Approach to Stubborn Agents and their Role in Opinion Formation on Influence Networks
• Noise-Induced Desynchronization and Stochastic Escape from Equilibrium in Complex Networks
• Rare slips in fluctuating synchronized oscillator networks
• Faster network disruption from layered oscillatory dynamics

Cited by in corpus (3)

• Predicting the response of structurally altered and asymmetrical networks
• Adversarial control of synchronization in complex oscillator networks
• Resilience of the slow component in timescale separated synchronized oscillators