Onset and Synchronization of Complex Dynamic Behavior in the Light-Sensitive Belousov−Zhabotinsky Reaction with Periodic and Nearly Periodic Switching
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Bibliographic record
Abstract
In this paper we studied the behavior of a model of a periodically driven photosensitive Belousov−Zhabotinsky reaction. The computations were carried out with a two-variable Oregonator model modified to account for photosensitivity. The external light intensity was periodically switched between two levels. By keeping the total cycle length fixed while varying the duration of the positive and negative perturbations, a variety of dynamical behaviors can be observed, including phase locking, torus oscillations, periodic transitions, and chaos. The results suggest that not only are the forcing frequency and amplitude important, as was already known, but the detailed waveform of the external forcing is also essential in determining the behavior of a driven dynamical system. Two scenarios have been investigated in this study: (a) the system was driven between two limit cycles; (b) the system was driven between excitable and oscillatory states. Random modulation of the durations of the positive and negative perturbations (low and high illumination states) leads to synchronization of complex behavior. Calculating the leading Lyapunov exponent confirms that this form of random driving may be used to suppress chaotic behavior.
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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) | 0.000 | 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)
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