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C. Hens

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Open access Sep 2026

Edge-centric functional network organization reveals seizure pathways in human epilepsy

Spatiotemporal signal propagation through the human brain during epileptic seizures remains poorly understood. Using intracranial EEG from subjects with medically refractory epilepsy, we introduce an edge-centric framework that tracks how influential functional connections in the time-evolving epileptic brain network f...

Aditi Bose, T. Bröhl, Klaus Lehnertz et al. · 0 citations
Preprint Sep 2026

Selection Rules for Species Coexistence in a Hierarchical May-Leonard Model

A hierarchical extension of the May-Leonard model, in which species interact through a directed predation chain while undergoing reproduction and mortality, is investigated, showing that the fully coexisting state is generically unstable, causing the dynamics to evolve toward lower-dimensional coexistence states.

Rakesh Samanta, Shraosi Dawn, Sk Jahiruddin et al. · 0 citations
Open access Aug 2026

Dimension reduction of higher-order dynamical networks

A one-dimensional reduction for dynamical systems on networks with purely higher-order interactions is developed, formulated through an effective higher-order interaction strength, associated with the triangular interactions of the underlying network and the dynamical system's effective state.

Amit Tiwari, C. Hens, Prosenjit Kundu · 1 citation
Preprint Aug 2026

Resilience Beyond Pairwise Networks

We derive a one-dimensional reduction for nonlinear dynamics on simplicial complexes containing both pairwise and triangular (higher-order) interactions. The effective state is defined using a mixed weight determined by the pairwise and triangular degrees of each node. The resulting reduced equation retains two structu...

Amit Tiwari, C. Hens, Prosenjit Kundu · 0 citations

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