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: red spectrum (low-frequency / 1-over-f power); strongly periodic; stationary. The atlas finds no named structure, but the source is distinctively extreme on Bispectrum:off_diagonal_ratio (+4.8z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.45
asymmetry0.46
occupancy0.76
short-range corr0.75
long-range memory0.21
spectral colour0.13
periodicity0.90
complexity0.18
time-irreversibility0.62
volatility clustering0.73
multifractality0.62
dimensionality0.56
nonstationarity0.14
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Bispectrum:off_diagonal_ratio+4.8zbank-miss 2.0σ
Symplectic:phase_volume_explored+2.0zbank-miss 1.2σ

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

Bispectrum › Bispectrum:off_diagonal_ratiorank 1/3061.0000
Bispectrum › Bispectrum:bicoherence_ginirank 4/3060.9748
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