93 citations · 233 across the 10 of their papers we have counts for
3 papers · 1 filter
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…
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…
Threefold way to the dimension reduction of dynamics on networks: an application to synchronization
Vincent Thibeault, Guillaume St-Onge, Louis J. Dubé +1
Several complex systems can be modeled as large networks in which the state of the nodes continuously evolves through interactions among neighboring nodes, forming a high-dimension…