Sprott-B
chaos · 36 views
chaos
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 ≈ 2.01
Interpretation
Standard analysis sees: red spectrum (low-frequency / 1-over-f power). 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 heaviness0.71
asymmetry0.39
occupancy0.43
short-range corr0.58
long-range memory0.44
spectral colour0.13
periodicity0.31
complexity0.32
time-irreversibility0.23
volatility clustering0.57
multifractality0.59
dimensionality0.77
nonstationarity0.40
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Bispectrum:coupling_frequency_centroid | +2.5z | bank-miss 1.8σ |
Composition
dtypefloat64
range[-5.71, 5.526]
unique values16384 / 16384
mean ± std-0.00219 ± 1.3
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Sprott-B.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Sprott-B.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Sprott-B.png)
Inflation (Substitution) > barcode
/d_curve/Sprott-B.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Sprott-B.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Sprott-B.png)
Ulam Spiral (Sacks) > default
/default/Sprott-B.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| EEG Seizure | 3.28 | cross-domain |
| EEG Eyes Closed | 3.43 | cross-domain |
| EEG Eyes Open | 3.69 | cross-domain |
Which Geometries Light Up
Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_profile | rank 3/298 | 0.9325 |
Bispectrum › Bispectrum:coupling_frequency_centroid | rank 4/298 | 0.6669 |
Hölder Regularity › Hölder Regularity:holder_mean | rank 3/298 | 1.0081 |
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