output
20152026
most citedTemplex: a bridge between homologies and templates for chaotic attractors

28 citations

9 papers

nlin.CD2026★ 28 cited

Templex: a bridge between homologies and templates for chaotic attractors

Gisela D. Charó, Christophe Letellier, Denisse Sciamarella

The theory of homologies introduces cell complexes to provide an algebraic description of spaces up to topological equivalence. Attractors in state space can be studied using Branc…

nlin.CD2026★ 8 cited

Templex-based dynamical units for a taxonomy of chaos

Caterina Mosto, Gisela D. Charó, Christophe Letellier +1

Discriminating different types of chaos is still a very challenging topic, even for dissipative three-dimensional systems for which the most advanced tool is the template. Neverthe…

math.DS2026

Functorial invariants for chaos topology from data

Denisse Sciamarella

The templex is a topological object bridging homologies and templates for chaotic dynamics. This article places the templex within category theory, introducing a directed path alge…

physics.flu-dyn2025★ 4 cited

The macroscopic contact angle of water on ice

W. Sarlin, D. V. Papa, R. Grivet +4

Wettability quantifies the affinity of a liquid over a substrate, and determines whether the surface is repellent or not. When both the liquid and the solid phases are made of the…

physics.flu-dyn2025★ 1 cited

Free surface topography of capillary flows using spatiotemporal phase shifting profilometry

Hélie de Miramon, Wladimir Sarlin, Axel Huerre +3

We present a novel experimental technique to characterize the free surface of capillary flows adapted from the Spatio-Temporal Phase Shifting Profilometry (ST-PSP) method introduce…

physics.ao-ph2023

Online machine-learning forecast uncertainty estimation for sequential data assimilation

Maximiliano A. Sacco, Manuel Pulido, Juan J. Ruiz +1

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporat…