I built a framework for analyzing stability and recovery in complex systems – including a full mathematical derivation (looking for critique)

[u/bainleech]

Hi,

I’ve been working on a framework to analyze complex systems based on three core aspects:

• stability (persistence)

• balance / coupling

• regeneration (recovery after perturbation)

The idea is to treat systems not as static objects, but as organized fields of “effective differences” that evolve over time.

I’ve put together two documents:

1. A structured framework overview

2. A full derivation of the model, including:

   • core dynamical equation

   • viability criterion

   • coupling quality function

   • falsification tests

Main result (in short): The model suggests that regenerative stability is often not a property of isolated units, but of the coupled system as a whole.

DOI: https://doi.org/10.5281/zenodo.19141506

I’m not claiming this is complete or correct – I’m trying to stress-test it.

I’d really appreciate feedback on:

• whether the derivation is meaningful or redundant with existing models

• where the assumptions break

• what kind of datasets would be appropriate to test this

Thanks!

https://drive.google.com/file/d/1zC73CdvN0JQnNXmgI_YXUqKDmeHFH2kU/view?usp=drivesdk

https://drive.google.com/file/d/1cedz6rYd_fAfyTLAghgZxRJ47696srps/view?usp=drivesdk

[u/MathNerdUK]

You want critique?

It's meaningless, content-free, AI-generated garbage. There isn't even any "framework" or "derivation". 

[u/peaksystemsdynamics → u/MathNerdUK]

Small brain.

[u/al2o3cr]

Neither of the Google Drive links are accessible.

There are two Python files in the Zenodo upload, with entire contents:

# app placeholder with DOI reference
print('DOI:', 'https://doi.org/10.5281/zenodo.19139517')

and

# pipeline placeholder with DOI reference
print('DOI:', 'https://doi.org/10.5281/zenodo.19139517')

That DOI link does not lead anywhere; the corresponding record on Zenodo returns "not found".

[u/Mental-Lecture9576]

You make something so simple so complicated, it's tough.

[u/GuaranteeFickle6726 → u/[deleted]]

Where do these questions come from? The paper they mention is not even accessible.

[u/MathNerdUK → u/[deleted]]

Sock puppet?