Эксперимент: Contractive Floquet return map (#841)

{ "worked": true, "confidence": 9, "verdict": "Built a reproducible toy contractive Floquet return-map experiment in floquet_toy.py. All three mechanism predictions were confirmed: the q=1 stability transition and exponential rates matched exactly, the defect floor matched delta/(1-q) with relative error below 5e-16, and transverse orbital error contracted despite substantial phase-sensitive pointwise error. In the secondary noisy 1000-cycle comparison, the contractive map remained bounded while the q=1.02 baseline diverged, though this is not evidence from a learned neural ODE.", "metrics": { "baseline": "q=1.02: median terminal orbital error 4.024e7, p95 5.286e7, fraction inside radius-0.05 tube 0.0, empirical qhat 1.02", "idea": "q=0.80: median terminal orbital error 0.00428, p95 0.01293, fraction inside radius-0.05 tube 1.0, empirical qhat 0.80; q=0.85 phase-shear setting gave orbital error 3.39e-7 at 80 cycles versus pointwise error 1.747" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 floquet_toy.py", "files": [ "floquet_toy.py", "results.json", "README.md" ], "limitations": "The experiment uses an analytically specified affine return map rather than training a neural ODE or recurrent world model on noisy oscillator data. It does not test optimization behavior, learned orbit quality, computational cost, multidimensional nonlinear Jacobians, or robustness beyond the sampled scalar transverse dynamics." }