Identifying disturbances in network-coupled dynamical systems without knowledge of the disturbances or underlying dynamics is a problem with a wide range of applications. For example, one might want to know which nodes in the network are being disturbed and identify the type of disturbance. Here, we present a model-free method based on machine learning to identify such unknown disturbances based only on prior observations of the system when forced by a known training function. We find that this method is able to identify the locations and properties of many different types of unknown disturbances using a variety of known forcing functions. We illustrate our results with both linear and nonlinear disturbances using food web and neuronal activity models. Finally, we discuss how to scale our method to large networks.
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October 2023
Research Article|
October 30 2023
Detecting disturbances in network-coupled dynamical systems with machine learning
Special Collection:
Data-Driven Models and Analysis of Complex Systems
Per Sebastian Skardal
;
Per Sebastian Skardal
a)
(Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
Department of Mathematics, Trinity College
, Hartford, Connecticut 06106, USA
a)Author to whom correspondence should be addressed: persebastian.skardal@trincoll.edu
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Juan G. Restrepo
Juan G. Restrepo
(Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing)
2
Department of Applied Mathematics, University of Colorado Boulder
, Boulder, Colorado 80309, USA
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a)Author to whom correspondence should be addressed: persebastian.skardal@trincoll.edu
Chaos 33, 103137 (2023)
Article history
Received:
July 24 2023
Accepted:
October 05 2023
Citation
Per Sebastian Skardal, Juan G. Restrepo; Detecting disturbances in network-coupled dynamical systems with machine learning. Chaos 1 October 2023; 33 (10): 103137. https://doi.org/10.1063/5.0169237
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