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Topological Methods for

the Planet’s Dynamics

TEMPLEX

TEMPLEX

Publications

Book Chapters

2024

Sciamarella, D., & Charó, G. D. (2024). New Elements for a Theory of Chaos Topology. in: Topological Methods for Delay and Ordinary Differential Equations With Applications to Continuum Mechanics.(pp 191-211). Editors: Pablo Amster, Pierluigi Benevieri. Cham: Springer International Publishing. https://link.springer.com/book/10.1007/978-3-031-61337-1_9

Papers

2023

Ghil, M., & Sciamarella, D. (2023). Dynamical systems, algebraic topology and the climate sciences. Nonlinear Processes in Geophysics, 30(4), 399-434. https://doi.org/10.5194/npg-30-399-2023

Charó, G. D., Ghil, M., & Sciamarella, D. (2023). Random templex encodes topological tipping points in noise-driven chaotic dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10). https://doi.org/10.1063/5.0140660

2022

Charó, G. D., Letellier, C., & Sciamarella, D. (2022). Templex: A bridge between homologies and templates for chaotic attractors. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(8). https://doi.org/10.1063/5.0092933

Theses

Salvagni, Luciana Laura. (2023). Análisis topológico de datos en atractores climáticos. Tesis de Grado. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales.
https://hdl.handle.net/20.500.12110/seminario_nMAT000651_Salvagni

Barreal Adrián. (2023). Desarrollo de algoritmos para el estudio topológico de flujos caóticos. Undergraduate thesis, Facultad de Ingeniería de la Universidad de Buenos Aires

Meetings

Charó, G. D., Faranda, D., Ghil, M., and Sciamarella, D. (2024) Extreme events in a templex, EGU General Assembly 2024, Vienna, Austria, 14–19 Apr 2024, EGU24-11997.  https://doi.org/10.5194/egusphere-egu24-11997

Bonel, J. C., Bodnariuk, N., Charo, G., Guinet, C., Saraceno, M., & Sciamarella, D. (2023, November). Templex-detected patterns and their connection to elephant seal behaviour. In Ocean Surface Topography Science Team (OSTST) Meeting. https://hal.science/hal-04276347v1/file/Poster_OSTST__2023_.pdf

Charó, G. D., Letellier, C., & Sciamarella, D. (2023, October). The templex approach in Lagrangian Analysis. In FROM THE NONLINEAR DYNAMICAL SYSTEMS THEORY TO OBSERVATIONAL CHAOS. 
https://hal.science/hal-04276333v1/file/Otto_Chaos___6_pages___II.pdf

Sciamarella, D., Charó, G. D., & Letellier, C. (2023, October). From the Rössler attractor to the templex. In OTTOCHAOS: FROM THE NONLINEAR DYNAMICAL SYSTEMS THEORY TO OBSERVATIONAL CHAOS.
https://hal.science/hal-04276337v1/file/Otto_Chaos___6_pages___I.pdf

Sciamarella, D. (2023, October). Le templex et les sciences du climat. In COLLOQUES «SCIENCE DES POINTS DE BASCULE» ET «PRÉVISIBILITÉ DANS LES SCIENCES DE L’ATMOSPHÈRE, DES OCÉANS ET DU CLIMAT».
https://hal.science/hal-04276349v1/file/GDR-DS-Diapos-en-ligne.pdf

Charó, G. D., Pierini, S., Ghil, M., & Sciamarella, D. (2023, October). Applying the templex approach to the topology of an intermediate ocean model with time-dependent winds. In NADCOM23 Non-autonomous Dynamics in Complex Systems: Theory and Applications to Critical Transitions.
https://hal.science/hal-04276313/

Mosto, C., Charó, G. D., Le Bras, P., Tandeo, P., Sévellec, F., & Sciamarella, D. (2023, September). Caracterización topológica de la Circulación de retorno meridional del Atlántico. In 108 Reunión Anual de Física 2023.
https://hal.science/hal-04274457v1/file/2023_Mosto.pdf
Charó, G. D., Ghil, M., and Sciamarella, D. (2023,May) Identifying topological tipping points in noise-driven chaotic dynamics using random templexes. EGU General Assembly 2023, Vienna, Austria, 24–28 Apr 2023, EGU23-4501,
https://doi.org/10.5194/egusphere-egu23-4501

Courses

Ghil, M. & Sciamarella, D. (2024, February) Minicourse “Dynamical Systems, Algebraic Topology, and Climate” Metodi matematici per la scienza del clima, Università di Pisa, 
https://clima.dm.unipi.it/2024/01/22/minicourse-dynamical-systems-algebraic-topology-and-climate/

Ghil, M., & Sciamarella, D. (2023, May) Chaos, stochasticity and algebraic topology: Novel methods and their applications to climate. In Datashape seminar.
https://hal.science/hal-04276351v1/file/Templex_DataShape_presented.pdf

Sciamarella, D. (2023). Phase Space topology of Chaos: Theory and Applications. Doctoral. Max Planck Institute for the Physics of Complex Systems, Dresden, Germany. 2023. https://hal.science/hal-04276318/document

Codes

Barreal Adrián. (2023). Desarrollo de algoritmos para el estudio topológico de flujos caóticos. Undergraduate thesis, Facultad de Ingeniería de la Universidad de Buenos Aires.
https://git.cima.fcen.uba.ar/adrian.barreal/flow-templex

Sciamarella, D. (2023) Templex-properties Notebook – Wolfram Community, STAFF PICKS, December 7, 2023- ​
https://community.wolfram.com/groups/-/m/t/3079776