Nonlinear Sciences > Adaptation and Self-Organizing Systems
[Submitted on 10 Oct 2025]
Title:Mixed higher-order coupling stabilizes new states
View PDF HTML (experimental)Abstract:Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-order coupling function, neglecting other viable choices. Here we study coupled oscillators with dyadic and three different types of higher-order couplings. By analyzing the stability of different twisted states on rings, we show that many states are stable only for certain combinations of higher-order couplings, and thus the full range of system dynamics cannot be observed unless all types of higher-order couplings are simultaneously considered.
Submission history
From: Per Sebastian Skardal [view email][v1] Fri, 10 Oct 2025 13:41:40 UTC (435 KB)
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