Lorenz Attractor
continuous-flows · 37 views
continuous-flowschaotic
What It Is
Lorenz '63 system x-coordinate --- the butterfly attractor, sensitive dependence on initial conditions. Two-lobe structure with unpredictable switching
Interpretation
Standard analysis sees: red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like). The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.35
asymmetry0.58
occupancy0.78
short-range corr0.83
long-range memory0.79
spectral colour0.03
periodicity0.48
complexity0.14
time-irreversibility0.20
volatility clustering0.82
multifractality0.78
dimensionality0.30
nonstationarity0.53
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[-19.16, 20.03]
unique values16384 / 16384
mean ± std-0.126 ± 8.24
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Lorenz_Attractor.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Lorenz_Attractor.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Lorenz_Attractor.png)
Inflation (Substitution) > barcode
/d_curve/Lorenz_Attractor.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/Lorenz_Attractor.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/Lorenz_Attractor.png)
Ulam Spiral (Sacks) > default
/default/Lorenz_Attractor.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Double Pendulum | 2.95 | |
| Lorenz-96 N=36 | 3.12 | |
| Lorenz-96 N=8 | 3.18 |
Which Geometries Light Up
Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_profile | rank 4/306 | 0.9265 |
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