Front explosions in three-dimensional resonantly-forced oscillatory systems
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Bibliographic record
Abstract
Interface dynamics in a three-dimensional coupled map lattice with a period-3 local map is studied. The system possesses a parameter regime where one typically finds three-phase patterns consisting of spatially uniform domains which follow the period-3 cycle and oscillate among the three different phases. The interfaces where these domains meet may exhibit complex irregular dynamics. The system also has a parameter regime of "turbulent" dynamics, which is a chaotic transient with a superexponentially long lifetime. The transition from the three-phase pattern regime to the turbulent regime is studied. As a control parameter is tuned, the interfaces between domains develop turbulent structure. The thickness of the turbulent zone remains finite up to a critical parameter value after which it is infinite. We characterize this "front explosion" transition in three-dimensional systems and compare it with the analogous transition in two-dimensional systems where the critical properties are markedly different. The front explosion in the three-dimensional resonantly-forced complex Ginzburg-Landau equation is also investigated briefly and its character differs from that in the three-dimensional coupled map lattice.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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