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Author

Amit Tiwari

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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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