5-Torus Quasiperiodic

coupled-oscillators · 37 views
coupled-oscillatorsquasiperiodic

What It Is

1D observable from dense quasiperiodic orbit on T^5 (frequencies sqrt 2,3,5,7,11). Ground-truth intrinsic dimension d=5.

Interpretation

Standard analysis sees: strongly periodic. The atlas finds no named structure, but the source is distinctively extreme on Bispectrum:off_diagonal_ratio (+4.7z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.46
asymmetry0.44
occupancy0.77
short-range corr0.74
long-range memory0.19
spectral colour0.32
periodicity0.91
complexity0.17
time-irreversibility0.61
volatility clustering0.73
multifractality0.63
dimensionality0.53
nonstationarity0.16
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Bispectrum:off_diagonal_ratio+4.7zbank-miss 2.2σ

Composition

dtypefloat64
range[-2.184, 2.183]
unique values16384 / 16384
mean ± std0.000257 ± 0.856

Render Gallery

Atlas Position

Nearest neighborDistance
4-Torus Quasiperiodic1.25
3-Torus Quasiperiodic1.89
Ruelle-Takens Cascade2.63cross-origin

Open in Atlas →

Which Geometries Light Up

BispectrumBispectrum:off_diagonal_ratiorank 1/3071.0000
BispectrumBispectrum:bicoherence_ginirank 4/3070.9748
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