ABSTRACT A wide range of dynamical systems can be modeled as oscillators coupled through an interaction network. Such frameworks have been widely used to explore the emergence of collective phenomena across diverse applications. Here, we develop an analytical framework for oscillator‐based Ising systems with Kuramoto‐t...
Qiang Li, Chu-Min Sun, David Waxman et al.· Advancement of science· 0 citations
Catastrophic fragmentation and structural transitions are ubiquitous in real-world complex systems, yet their underlying universality classes remain largely elusive due to strong structural heterogeneity and the absence of well-defined critical thresholds. Here, we discover a robust phenomenon of temporal self-similari...
Sheng Fang, Jun Meng, Qing Lin et al.· Nature Communications· 0 citations
A generalised path-percolation framework is introduced where paths are drawn from a temperature-controlled routing ensemble interpolating between geodesic and noisy transport, clarifying how microscopic routing organisation shapes macroscopic resilience, and identifying path elongation as a measurable precursor of fail...
Yunhao Ding, Andreas Münch, R. Lambiotte· 0 citations
A unified statistical physics framework based on the random cluster model is introduced that encompasses classical notions of connectivity and defines a continuous family of new connectivity measures, offering a powerful tool to analyze structure and dynamics in complex networks.
