Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers
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Bibliographic record
Abstract
A model for two symmetrically coupled lasers is investigated, in which mixed-mode oscillations arise in the absence of coupling. For small enough coupling, we show that in the time series, certain dynamical transitions from different resonances in the chaotic regime may be explained by the overlap of suitable resonances. These are families of N : N + 1 resonances, which result in isolas as well as isolas consisting of intermediate-phase resonances N : N. It appears that the overlap of resonances can explain the onset of two different scaling regions in the dimension correlation sum, which display an explicit dependence on the optical coupling strength. For very small coupling ranges, there are larger scaling regions that look analogous to that for the uncoupled laser system. For larger coupling, but still well below the synchronization threshold, steeper and larger scaling regions arise, in particular, in the smaller partitions.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.002 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it