FPUT N=16
What It Is
Fermi-Pasta-Ulam-Tsingou anharmonic-spring chain (β-model), N=16 masses, fixed boundaries. Conservative (Hamiltonian) high-DOF chaos --- direct Hamiltonian analogue of Lorenz-96 N=8 (dissipative) at matched dimensionality. Famously fails to thermalize for low amplitudes (FPUT recurrences); above the energy threshold the chain mixes ergodically. Velocity-Verlet integration. Observable: q_{N/2}(t).
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like); volatility-clustering (bursty); multifractal. The atlas detects no named structure beyond this.
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
Render Gallery
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/d_curve/FPUT_N=16.png)
/phi_spectrum/FPUT_N=16.png)
/default/FPUT_N=16.png)
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Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Chua's Circuit | 2.59 | cross-domain |
| Berry Random Wave | 2.78 | cross-domain |
| Magnetic Pendulum (3-Magnet) | 2.80 | cross-domain |
Which Geometries Light Up
Catch24 › Catch24:CO_Embed2_Dist_tau_d_expfit_meandiff | rank 5/298 | 29.6476 |
H² × ℝ (Thurston) › H² × ℝ (Thurston):hyperbolic_triangle_area | rank 295/298 | 0.0001 |
Ulam Spiral (Square) › Ulam Spiral (Square):radon_anisotropy | rank 4/298 | 0.0395 |