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 additionally detects Spectral Analysis:spectral_slope. It sits beside Rössler Hyperchaos in the atlas (standard-bank rank 41) — a neighbor conventional features miss.

What standard analysis sees
tail heaviness0.51
asymmetry0.25
occupancy0.78
short-range corr0.80
long-range memory0.64
spectral colour0.01
periodicity0.42
complexity0.13
time-irreversibility0.25
volatility clustering0.80
multifractality0.68
dimensionality0.38
nonstationarity0.35
What the atlas adds
Spectral Analysis:spectral_slope+2.1z
1/f spectral decay (β ≈ -1)

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 Hyperchaos3.27
Ruelle-Takens Cascade3.37

Open in Atlas →

Which Geometries Light Up

AutoRegressiveAutoRegressive:ar_coef_1rank 2/3072.8633
in algorithmic-bytes
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