Impact of stochastic perturbations on pattern stability and selection

Investigate how stochastic perturbations influence the stability and selection of bimodal amplitude patterns in globally coupled heterogeneous oscillatory media, and develop quantitative models that incorporate noise to predict domain ratios and synchronization robustness.

Background

While the experiments intrinsically involve noise, the theoretical and numerical analyses presented in the paper neglect stochastic perturbations. The authors suggest that noise may affect both stability and the selection among coexisting patterns.

Understanding the role of stochasticity is crucial for bridging theory and experiment and for predicting the robustness of observed synchronized bimodal patterns.

References

This work raises several open questions. Another question concerns stochastic perturbations, which are present in any experiment and may influence the stability and selection of patterns, but were not considered in this study.

— Complete Synchronization and Pattern Selection through Amplitude Dynamics and Diffusion in Heterogeneous Oscillatory Media (2510.06083 - Thomé et al., 7 Oct 2025) in Section 5 (Conclusion and Outlook)