Biological Receptor Scheme for the Robust Synchronization of Limit Cycle Oscillators
Bibliographic record
Abstract
Using the conceptual similarity of biological receptors and limit cycle oscillators, the coupled equations dPj/dt = Fj (Pj,Rj) and dRj/dt = Gj (Pj + γ Ʃl=1NPl, Rj), where γ is an arbitrary positive number that is chosen to correspond to the sensitivity of a biological receptor, were derived as a system exhibiting robust global synchronization of limit cycle oscillators when individual limit cycles are expressed as dPj/dt = Fj (Pj, Rj) and dRj/dt = Gj (Pj, Rj). Despite the broad distribution of natural frequencies, in a numerical study, 100 van der Pol oscillators became globally synchronized and two van der Pol oscillators became synchronized even when the ratio of natural frequencies was as large as 100. It was also shown that the amplitude of the individual van der Pol oscillator is proportional to the square of the corresponding natural frequency in the synchronized state, and oscillators with higher natural frequencies maintain larger amplitudes.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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".