Scientists Discover Exotic New Patterns of Synchronization
quantamagazine.org
quantamagazine.org
"The scientists mapped the different synchronized clusters that can form in a network of oscillators to that network’s symmetries. In this context, symmetries refer to the ways a network’s oscillators can be swapped without changing the network, just as a square can be rotated 90 degrees or reflected horizontally, vertically or diagonally without changing its appearance." ... "The synchronized part is one big synchronized cluster, and the desynchronized part is a bunch of single clusters"
Sounds like Chladni/Faraday patterns to me:
https://en.wikipedia.org/wiki/Ernst_Chladni#Chladni_figures
The symmetry group might be the network of anti-nodes, which vibrate in common with the shared energy reflecting through the medium. The nodes seem less likely, as that's where the energy waves cancel out, thus providing less kick against the local oscillators to overcome their independent motion.
I wonder if there's a good way to integrate something about oscillation into neural networks.
https://www.amazon.com/Rhythms-Brain-Gyorgy-Buzsaki/dp/01998...
“...self-emerged oscillatory timing is the brain's fundamental organizer of neuronal information. The small-world-like connectivity of the cerebral cortex allows for global computation on multiple spatial and temporal scales. The perpetual interactions among the multiple network oscillators keep cortical systems in a highly sensitive "metastable" state and provide energy-efficient synchronizing mechanisms via weak links.”
https://www.nature.com/articles/s41586-018-0632-y
Arxiv PDF: https://arxiv.org/ftp/arxiv/papers/1711/1711.02704.pdf
http://nano.caltech.edu/publications/papers/Matheny-2019-Sci...
Looks like they did simulate it, and the experimental results differed from the simulation due to number of harmonic terms used: “To obtain quantitative agreement between the phase model (Eq. 3) and the experiment, additional terms in the harmonics of the magnitudes would need to be included in the phase model.” Which I suppose implies that very weak, distant harmonics might play an important role in these patterns.
Also an earlier paper from the same group that discusses infeasibility of other approaches: https://authors.library.caltech.edu/81293/1/acs.nanolett.7b0...
I wonder how synchronization "interacts" with Relativistic non-simultaneity?
If you look at the news.yc discussion https://news.ycombinator.com/item?id=14452832 at least one user had managed to sync LEDs using a similar model.
My friend almost lost his at the John MacAfee party when it fell off the lanyard.