4 papers
Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
Conserved quantities in phase-oscillator dynamics are well established for identically coupled oscillators, or groups thereof, but the explicit connectivity conditions under which…
Operator-theoretic approach to the partial integration of randomly coupled phase oscillators
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
In our previous work [arXiv:2504.06248], we adopted Koopman theory to link the existence of different constants of motion to the presence of specific network motifs of Kuramoto osc…
On the reconstruction limits of complex networks
Charles Murphy, Simon Lizotte, François Thibault +3
Network reconstruction consists in retrieving the hidden interaction structure of a system from observations. Many reconstruction algorithms have been proposed, although less resea…
The low-rank hypothesis of complex systems
Vincent Thibeault, Antoine Allard, Patrick Desrosiers
Complex systems are high-dimensional nonlinear dynamical systems with intricate interactions among their constituents. To make interpretable predictions about their large-scale beh…