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- HUN-REN Alfréd Rényi Institute of MathematicsHU42 papers
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7 papers · 1 filter
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Mining higher-order triadic interactions
Marta Niedostatek, Anthony Baptista, Jun Yamamoto +4
Complex systems often involve higher-order interactions which require us to go beyond their description in terms of pairwise networks. Triadic interactions are a fundamental type o…
Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
Yuanzhao Zhang, Per Sebastian Skardal, Federico Battiston +2
A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this q…
Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Yuanzhao Zhang, Maxime Lucas, Federico Battiston
Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relati…
Temporal inactivation enhances robustness in an evolving system
Fumiko Ogushi, János Kertész, Kimmo Kaski +1
We study the robustness of an evolving system that is driven by successive inclusions of new elements or constituents with random interactions to older ones. Each constitutive…
Enhanced robustness of evolving open systems by the bidirectionality of interactions between elements
Fumiko Ogushi, János Kertész, Kimmo Kaski +1
Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed…