Lorenz-96 N=4 F=16

continuous-flows · 37 views
continuous-flowschaotic

What It Is

Lorenz-96 atmospheric-dynamics ODE with N=4 variables and high forcing F=16 (required for chaos at small N). Observable is x_0(t). Attractor fractal dim ~2.5-3.

Interpretation

Standard analysis sees: smooth / autocorrelated; red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like); time-irreversible (slow rise, sharp collapse); volatility-clustering (bursty). The atlas finds no named structure, but the source is distinctively extreme on Bispectrum:coupling_frequency_centroid (-3.0z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.49
asymmetry0.74
occupancy0.77
short-range corr0.86
long-range memory0.81
spectral colour0.09
periodicity0.69
complexity0.13
time-irreversibility0.07
volatility clustering0.86
multifractality0.79
dimensionality0.35
nonstationarity0.57
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Bispectrum:coupling_frequency_centroid-3.0zbank-miss 1.5σ

Composition

dtypefloat64
range[-10.64, 16.05]
unique values16384 / 16384
mean ± std2.51 ± 6.31

Render Gallery

Atlas Position

Nearest neighborDistance
Lorenz-96 N=362.75
Halvorsen Attractor2.81
Lorenz-96 N=82.82

Open in Atlas →

Which Geometries Light Up

Bispectrum › Bispectrum:coupling_frequency_centroidrank 304/3060.2736
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