Phase Synchronization of Nonidentical Light-Sensitive Belousov−Zhabotinsky Systems Induced by Variability in a High−Low Illumination Program
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Bibliographic record
Abstract
Phase synchronization of two systems with different dynamical parameters driven by a common external signal is studied using a model of the photosensitive Belousov−Zhabotinsky reaction. Complex dynamics, including chaos, arise when the external light intensity is periodically switched between two levels. Two dynamical conditions are investigated here: (a) the two systems are driven between two limit cycles and (b) both systems are driven between excitable and oscillatory states. Phase synchronization is achieved with both Gaussian-distributed and dichotomous noise when the random variation is added to the duration of the periodic forcing. In the case that noise is added to the intensity of the periodic forcing, perfect phase synchronization is achieved with dichotomous noise, whereas only transient synchronization is observed with Gaussian-distributed random variation. Studies with correlated noise show that the compound system may have two attractors, one corresponding to the phase synchronized state and one to unsynchronized oscillations (lag-synchronized or chaotic, depending on the parameters). This suggests that transient synchronization is due to noise-induced transitions between the synchronized attractor and the neighborhood of a second invariant set which may in some cases also be an attractor. The synchronization mechanism is also studied using a return map.
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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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