Newton-Leipnik Attractor

continuous-flows · 37 views
continuous-flowschaotic

What It Is

Newton-Leipnik 3D continuous flow --- two-disc strange attractor with coexisting attractors at standard parameters. Distinct multistable topology not present in Lorenz/Rossler/Halvorsen. Output: x-coordinate.

Interpretation

Standard analysis sees: red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like). The atlas finds no named structure, but the source is distinctively extreme on AutoRegressive:ar_coef_1 (+2.8z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.50
asymmetry0.25
occupancy0.78
short-range corr0.80
long-range memory0.65
spectral colour0.03
periodicity0.46
complexity0.15
time-irreversibility0.46
volatility clustering0.79
multifractality0.68
dimensionality0.40
nonstationarity0.29
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
AutoRegressive:ar_coef_1+2.8zbank-miss 1.0σ

Composition

dtypefloat64
range[-0.6474, 0.6485]
unique values16222 / 16384
mean ± std0.000642 ± 0.269

Render Gallery

Atlas Position

Nearest neighborDistance
Lorenz Attractor3.23
Rössler Hyperchaos3.26
Ruelle-Takens Cascade3.37

Open in Atlas →

Which Geometries Light Up

AutoRegressive › AutoRegressive:ar_coef_1rank 2/3062.8633
in algorithmic-bytes
alphabetical
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources