Newton-Leipnik Attractor

chaos · 36 views

chaos

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_9 (-4.3z) — beyond what the standard bank predicts for it.

What standard analysis sees

tail heaviness0.52

asymmetry0.26

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

dimensionality0.37

nonstationarity0.35

What the atlas adds

Atlas-extreme metrics the standard bank can’t predict for this source

`AutoRegressive:ar_coef_9`	-4.3z	bank-miss 2.2σ
`AutoRegressive:ar_coef_7`	+4.0z	bank-miss 1.4σ
`AutoRegressive:ar_coef_2`	-3.7z	bank-miss 1.0σ
`AutoRegressive:ar_coef_6`	-3.4z	bank-miss 1.3σ
`AutoRegressive:ar_coef_10`	+3.3z	bank-miss 3.3σ
`AutoRegressive:ar_coef_8`	+3.1z	bank-miss 1.5σ
`AutoRegressive:ar_coef_3`	+3.0z	bank-miss 2.4σ
`Spectral Analysis:spectral_slope`	-2.2z	bank-miss 1.0σ