Rossler Attractor
chaos · 36 views
chaos
What It Is
Rossler system x-coordinate --- the simplest 3D continuous chaotic flow, a single folded band with period-doubling route to chaos
Interpretation
Standard analysis sees: smooth / autocorrelated; strongly periodic; low-complexity (predictable, not noise-like); time-irreversible (slow rise, sharp collapse); volatility-clustering (bursty). The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.47
asymmetry0.67
occupancy0.75
short-range corr0.89
long-range memory0.78
spectral colour0.16
periodicity0.89
complexity0.07
time-irreversibility0.02
volatility clustering0.88
multifractality0.77
dimensionality0.24
nonstationarity0.50
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[-9.438, 12.12]
unique values16222 / 16384
mean ± std0.171 ± 5.29
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/Rossler_Attractor.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Rossler_Attractor.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Rossler_Attractor.png)
Inflation (Substitution) > barcode
/d_curve/Rossler_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/Rossler_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/Rossler_Attractor.png)
Ulam Spiral (Sacks) > default
/default/Rossler_Attractor.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Hénon-Heiles | 2.96 | |
| Halvorsen Attractor | 3.19 | |
| Lorenz-96 N=4 F=16 | 3.33 |
Which Geometries Light Up
Navier-Stokes › Navier-Stokes:sl_fit_quality | rank 4/298 | 0.9224 |
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