Complexity and delay shape oscillatory transitions in complex networks

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ID: 329580
2026
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Abstract
Abstract Oscillation, as a prevalent emergent phenomenon across physical, biological, and ecological systems, is essential for the development and maintenance of many physiological and physical processes. However, the mechanisms through which propagation delays and structural parameters jointly determine the excitation or suppression of oscillatory dynamics remain poorly understood. Here, we show that variations in network complexity, delays, and interaction types provide a parametric route to tuning oscillatory transitions in complex systems. We further demonstrate that delays function as a critical, tunable parameter that complements network complexity in shaping these dynamics. Interestingly, our results reveal that cooperative interactions most effectively promote the emergence of oscillations, outperforming mixed, competitive, and random interaction schemes. Finally, we validate our theoretical predictions through hardware-in-the-loop emulations and demonstrate how network complexity and propagation delays shape oscillatory transitions in an empirically reconstructed complex-network topology.
Reference Key
openalex_W7214099546 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Rui Xiao, Guanghui Wen, Jinliang Han, Wei Lin, Philip K Maini, Yongzheng Sun
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Journal national science review
Year 2026
DOI
10.1093/nsr/nwag608
URL
https://doi.org/10.1093/nsr/nwag608
Keywords Keywords not found

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