Defect mediated turbulence in a locally quasiperiodic chemical medium
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Bibliographic record
Abstract
Under a change of conditions, spiral waves in oscillatory reaction-diffusion media can become unstable and give rise to a multitude of emergent patterns. For example, in bounded domains spiral waves can undergo a resonant Hopf bifurcation leading to period-2 spirals which emit wave trains with doubled wavelength and temporal period and have a characteristic synchronization defect line. Here, we analyze the emergent patterns due to nonresonant Hopf bifurcations in the local dynamics giving rise to quasiperiodicity as reported in systems such as the peroxidase-oxidase and the Belousov-Zhabotinsky reaction. For a conceptual model of the peroxidase-oxidase reaction in a spatially extended medium, we find numerically that the additional frequency leads to defect-mediated turbulence. This proves that defect-mediated turbulence can indeed exist in media where the underlying local dynamics is quasiperiodic. While many statistical features of this turbulent dynamics are similar to those observed for other systems, we show that there are clear differences if higher-order statistics are considered. In particular, we find that the space-time dynamics of the topological defects as characterized by the statistics of defect loops is closely related to the underlying local dynamics.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| 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