The Doomsday Clock Ticks Closer to Midnight. Does Anyone Care? https://www.404media.co/the-doomsday-clock-ticks-closer-to-midnight-does-anyone-care/
Former Shadow Chancellor John McDonnell tweeted: "Message to Keir: Do not underestimate the depth of anger people will feel about this disgusting decision. If you think it strengthens you I tell you it will simply hasten your demise. You could have shown magnanimous leadership but instead it’s cowardice."
By-election machinations weaken Keir Starmer and could ultimately push Andy Burnham closer to No 10 - Manchester Evening News
remember dahlias? I sure do. maybe the bumble bees do as well.
#photography #fall #nofilter #bumblebee
Operational tracking loss in nonautonomous second-order oscillator networks
Veronica Sanz
https://arxiv.org/abs/2603.19420 https://arxiv.org/pdf/2603.19420 https://arxiv.org/html/2603.19420
arXiv:2603.19420v1 Announce Type: new
Abstract: We study when a network of coupled oscillators with inertia ceases to follow a time-dependent driving protocol coherently, using a simplified graph-based model motivated by inverter-dominated energy systems. We show that this loss of tracking is diagnosed most clearly in the frequency dynamics, rather than in phase-based observables. Concretely, a tracking ratio built from the frequency-disagreement observable $E_\omega(t)$ and normalized by the instantaneous second-order modal decay rate yields a robust protocol-dependent freeze-out time whose relative dispersion decreases with system size. Graph topology matters substantially: the resulting freeze-out time is only partly captured by the algebraic connectivity $\lambda_2$, while additional structural descriptors, particularly Fiedler-mode localization and low-spectrum structure, improve the explanation of graph-to-graph variation. By contrast, phase-sector observables develop strong non-monotonic and underdamped structure, so simple diagonal low-mode relaxation closures are not quantitatively reliable in the same regime. These results identify the frequency sector as the natural operational sector for nonautonomous tracking loss in second-order oscillator networks and clarify both the usefulness and the limits of reduced spectral descriptions in this setting.
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