u/Late-Amoeba7224

Different views of the same system seem to reveal the same transition structure

I tried a slightly different approach to detecting regime changes in a chaotic system (Lorenz). Instead of using thresholds or predefined events, I track something like local “coherence” over time.

What shows up:

– transition points are not random

– they cluster in specific regions

– they’re relatively stable under noise

Still very exploratory, but visually quite consistent. Does this map to something standard (change point detection, spectral methods, etc.), or is this just a different view on known techniques?

https://i.redd.it/zlohnpjct6xg1.gif

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u/Late-Amoeba7224 — 2 days ago

Different views of the same system seem to reveal the same transition structure

I’ve been playing around with a way to visualize transitions in dynamical systems, and this came out of it. What I find interesting is that the system doesn’t seem to transition randomly. Across different views (signal, geometry, field), transitions keep showing up in the same regions.

This GIF is from an IEEE-style system where I reconstruct something like a local field from the signal.

I’m not claiming anything formal here — just exploring.

Curious if this resonates with known ideas in complex systems, or if I’m over-interpreting visual structure.

https://i.redd.it/o40ma1tq06xg1.gif

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u/Late-Amoeba7224 — 2 days ago