Эксперимент: Basin-Aware Hysteresis Guard (#1063)

{ "worked": true, "confidence": 9, "verdict": "Built and numerically verified a basin-aware hysteresis toy model using the tilted double-well flow dx/dt=x-x^3+u. The three mechanism predictions were confirmed: the saddle-node was observed at 0.384900 versus 0.384900 predicted, local stability coexisted with multiple equilibria, and empirical basin recovery closely followed Phi(1/epsilon). The controller comparison was not a practical win: threshold-only failure was 0.1433 versus 0.2000 for the guard, showing that scalar damping changes time scale but not basin membership.", "metrics": { "baseline": "Threshold-only release: failure_rate=0.1433, release_rate=1.0", "idea": "Basin guard: failure_rate=0.2000, release_rate=0.0; mechanism sweep B_hat versus predicted Phi(1/epsilon): [1.0000 vs 1.0000, 1.0000 vs 0.9996, 0.9788 vs 0.9772, 0.9215 vs 0.9234, 0.8675 vs 0.8667, 0.8308 vs 0.8183]" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 basin_guard_experiment.py", "files": [ "basin_guard_experiment.py", "results.json", "README.md" ], "limitations": "No tanh RNN, adding-task, sequential-MNIST, GPU, training, or throughput experiment was run. The intervention was tested only on a one-dimensional continuous-time normal form, and its damping cannot alter the asymptotic basin boundary." }