Effects of structural heterogeneities on phase-lagged or phase-delayed oscillator dynamics away from criticality

Characterize how structural heterogeneities, including hub-rich (rich-club) configurations and core-periphery organization, affect the dynamics of phase-lagged or phase-delayed Kuramoto-Sakaguchi oscillator networks away from the critical synchronization regime.

Background

Prior work shows hubs and rich-club structure can shape synchronization pathways in non-frustrated oscillator networks, but the present study focuses on phase-frustrated dynamics and mesoscale modularity without these heterogeneities.

The authors explicitly point out that how such heterogeneities influence phase-lagged or delayed oscillator systems, particularly outside the critical coupling regime, is not currently understood.

References

It remains unclear how these structural heterogeneities affect systems of phase-lagged or phase-delayed oscillators and, in particular, away from the critical regime.

— Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity  (2405.14542 - Caprioglio et al., 2024) in Section 4 (Discussion)