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Convenience function for various global stability / resilience measures

Open Datseris opened this issue 1 year ago • 0 comments

@KalelR and myself came across the following paper by Hana Krakovska and co-workers:

https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/resilience-of-dynamical-systems/B277FB38B049FD4DECC2097E7460E4E3?utm_campaign=shareaholic&utm_medium=copy_link&utm_source=bookmark

It provides several quantifiers for global stability (also called non-local stability also called resilience). Here is a table:

image

I believe it would be great if we create a function, e.g., resilience that takes in a AttractorMapper and returns various metrics of nonlocal stability. I think that several of the indicators that are related to parameter variations can be part of a different function, whjose input should also be the parameter to be varied. But honestly, I don't think it is even useful to include indicators based on parameter vairations as they are so specialized... So the rest of the indicators can all nicely be put in a function. Several of those one can get immediatelly with the current version of Attractors.jl with minimal effort!

Datseris avatar Sep 13 '23 14:09 Datseris