Lorenz-96 N=8

continuous-flows · 37 views
continuous-flowschaotic

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 detects no named structure beyond this.

What standard analysis sees
tail heaviness0.46
asymmetry0.59
occupancy0.79
short-range corr0.87
long-range memory0.84
spectral colour0.05
periodicity0.54
complexity0.11
time-irreversibility0.04
volatility clustering0.87
multifractality0.80
dimensionality0.33
nonstationarity0.65
What the atlas adds

Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.

Composition

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

Render Gallery

Atlas Position

Nearest neighborDistance
Lorenz-96 N=362.08
Double Pendulum2.34
Berry Random Wave2.74cross-origin

Open in Atlas →

Which Geometries Light Up

Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_profilerank 5/3060.9205
Hodge–Laplacian › Hodge–Laplacian:poisson_recovery_errorrank 5/3064.5800
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