Front explosions in three-dimensional resonantly-forced oscillatory systems
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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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".