Backfiring and nonannihilation collisions in the Belousov–Zhabotinsky medium
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Bibliographic record
Abstract
In this paper pattern formation and interactions in a spatially extended Belousov–Zhabotinsky reaction medium are investigated numerically. Backfiring, nonannihilation collisions and reflections at nonflux boundaries have been observed in the vicinity of three types of bifurcations including supercritical and subcritical Hopf-bifurcations and the Canard bifurcation. In the vicinity of a supercritical Hopf-bifurcation, backfiring and collision-stable behavior do not appear until the system exhibits small amplitude oscillations. In complement to earlier investigations, this study illustrates that the collision-stable behavior also exists under the dynamics where the system has only one stable attractor. The influence of relative molecular diffusivities on the backfiring and nonannihilation collisions has been characterized over a broad range of bifurcation conditions, which shows that increasing the relative diffusivity of the activator favors the appearance of the above complex behavior. The transition from a supercritical Hopf-bifurcation to a Canard bifurcation has also been investigated.
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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 | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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