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This https://arxiv.org/abs/2504.06248 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
The partial integrability of the Kuramoto model is often thought to be restricted to identically connected oscillators or groups thereof. Yet, the exact connectivity prerequisites for having constants of motion on more general graphs have remained elusive. Using spectral properties of the Koopman generator, we derive necessary and sufficient conditions for the existence of distinct constants of motion in the Kuramoto model with heterogeneous phase lags on any weighted, directed, signed graph. T…

sl = StringList()
sl @= "line1"
sl @= "line2"
print(sl) # prints line1\nline2\n
https://gist.github.com/jevinskie/30717932f0c6bdf6f4f7094fee7e92c2

Python StringList for @= line concatenation
Python StringList for @= line concatenation. GitHub Gist: instantly share code, notes, and snippets.

The Role of Connection Density in an Adaptive Network with Chaotic Units
Ramiro Pl\"uss, Pablo Mart\'in Gleiser
https://arxiv.org/abs/2505.11437 h…

The Role of Connection Density in an Adaptive Network with Chaotic Units
We investigate the role of connection density in an adaptive network model of chaotic units that dynamically rewire based on their internal states and local coherence. By systematically varying the network's connectivity density, we uncover distinct dynamical regimes and structural transitions, revealing mechanisms of spontaneous modularity, dynamical segregation, and integration. We find that at higher densities, the network exhibits both local clustering and global synchrony. Additionally, we…