Double Pendulum
motion · 36 views
motion
What It Is
Angular velocity of second arm --- mechanical chaos with mixed regular/chaotic regions
Interpretation
Standard analysis sees: smooth / autocorrelated; long-range memory (persistent); red spectrum (low-frequency / 1-over-f power); low-complexity (predictable, not noise-like); volatility-clustering (bursty). The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.40
asymmetry0.37
occupancy0.73
short-range corr0.91
long-range memory0.87
spectral colour0.02
periodicity0.55
complexity0.11
time-irreversibility0.21
volatility clustering0.89
multifractality0.80
dimensionality0.30
nonstationarity0.61
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[-12.84, 12.8]
unique values16384 / 16384
mean ± std-1.08 ± 4.54
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/Double_Pendulum.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Double_Pendulum.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Double_Pendulum.png)
Inflation (Substitution) > barcode
/d_curve/Double_Pendulum.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/Double_Pendulum.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/Double_Pendulum.png)
Ulam Spiral (Sacks) > default
/default/Double_Pendulum.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Lorenz-96 N=36 | 2.33 | cross-domain |
| Lorenz-96 N=8 | 2.46 | cross-domain |
| FPUT N=16 | 2.85 | cross-domain |
Which Geometries Light Up
Ammann-Beenker (Octagonal) › Ammann-Beenker (Octagonal):convergent_profile | rank 5/298 | 0.9206 |
Laplacian › Laplacian:laplacian_spectral_ratio | rank 4/298 | 1.0000 |
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