Sprott-B

continuous-flows · 37 views
continuous-flowschaotic

What It Is

Sprott case B --- simplest known dissipative chaotic flow with quadratic nonlinearity: dx/dt=yz, dy/dt=x-y, dz/dt=1-xy. Strange attractor with Kaplan-Yorke dimension ≈ 2.17 (Sprott 1994: D_KY ≈ 2.19)

Interpretation

Standard analysis sees: red spectrum (low-frequency / 1-over-f power); time-irreversible (sharp rises, slow decay). The atlas finds no named structure, but the source is distinctively extreme on Bispectrum:coupling_frequency_centroid (+2.5z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.68
asymmetry0.33
occupancy0.49
short-range corr0.59
long-range memory0.45
spectral colour0.14
periodicity0.29
complexity0.33
time-irreversibility0.85
volatility clustering0.58
multifractality0.56
dimensionality0.78
nonstationarity0.35
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Bispectrum:coupling_frequency_centroid+2.5zbank-miss 2.2σ

Composition

dtypefloat64
range[-5.71, 5.526]
unique values16384 / 16384
mean ± std-0.00219 ± 1.3

Render Gallery

Atlas Position

Nearest neighborDistance
EEG Seizure3.08cross-origin
EEG Eyes Closed3.12cross-origin
LIGO H1 Whitened (GW150914)3.46cross-origin

Open in Atlas →

Which Geometries Light Up

Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_profilerank 3/3060.9297
Bispectrum › Bispectrum:coupling_frequency_centroidrank 4/3060.6633
Hölder Regularity › Hölder Regularity:holder_meanrank 4/3061.0072
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