Lorenz-96 N=8

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chaos

What It Is

Lorenz-96 with N=8 variables at standard forcing F=8. Observable is x_0(t). Weakly turbulent regime, attractor dim ~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 Laplacian:curvature_autocorrelation (+2.0z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.53
asymmetry0.35
occupancy0.76
short-range corr0.87
long-range memory0.82
spectral colour0.07
periodicity0.51
complexity0.10
time-irreversibility0.02
volatility clustering0.88
multifractality0.79
dimensionality0.30
nonstationarity0.72
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Laplacian:curvature_autocorrelation+2.0zbank-miss 1.3σ

Composition

dtypefloat64
range[-6.463, 10.98]
unique values16384 / 16384
mean ± std2.2 ± 3.53

Render Gallery

Atlas Position

Nearest neighborDistance
Lorenz-96 N=361.97
Double Pendulum2.46cross-domain
Berry Random Wave2.74cross-domain

Open in Atlas →

Which Geometries Light Up

Hodge–LaplacianHodge–Laplacian:poisson_recovery_errorrank 5/2984.5800
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