Introduces graph-to-image prediction of per-node dynamic stability landscapes in oscillator networks from topology, releases two 10k-graph datasets, and shows GNN-CNN models achieve good accuracy with cross-size generalization.
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Logarithmic centroid method recovers adiabatic Kramers scaling in coherence resonance for SRK model with Feller noise despite bathtub effect, identifies strong-noise breakdown, and demonstrates noise-induced transition to functional synchronization in gap-junction coupled systems.
Exact dimensional reduction of N identical quasi-linear ODE units of order M to M+1 closed macroscopic equations that capture all microscopic dynamics.
Coupling threshold for extreme events in networked systems shows a power-law dependence on edge density and algebraic connectivity that holds across systems and extreme-event mechanisms.
In a discrete pulse-coupled oscillator model, synchronization is bimodal near a critical quorum-pulse balance, with noise and sparse connectivity suppressing multi-cluster states to favor global timing.
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Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
Exact dimensional reduction of N identical quasi-linear ODE units of order M to M+1 closed macroscopic equations that capture all microscopic dynamics.