Identification of linear response functions from arbitrary perturbation experiments in the presence of noise – Part 1: Method development and toy model demonstration

Torres Mendonça, Guilherme L.; Pongratz, Julia; Reick, Christian H.

doi:https://doi.org/10.5194/npg-28-501-2021

Articles | Volume 28, issue 4

https://doi.org/10.5194/npg-28-501-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-28-501-2021

© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 28, issue 4

Research article

|

14 Oct 2021

Research article |

| 14 Oct 2021

Identification of linear response functions from arbitrary perturbation experiments in the presence of noise – Part 1: Method development and toy model demonstration

Guilherme L. Torres Mendonça, Julia Pongratz, and Christian H. Reick

Model code and software

Supplementary material for “Identification of linear response functions from arbitrary perturbation experiments in the presence of noise - Part I. Method development and toy model demonstration” Torres Mendonca, G., Pongratz, J., and Reick, C. H. https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3288741

Short summary

Linear response functions are a powerful tool to both predict and investigate the dynamics of a system when subjected to small perturbations. In practice, these functions must often be derived from perturbation experiment data. Nevertheless, current methods for this identification require a tailored perturbation experiment, often with many realizations. We present a method that instead derives these functions from a single realization of an experiment driven by any type of perturbation.