Mackey-Glass
continuous-flows · 37 views
continuous-flowschaotic
What It Is
Delay-differential equation modeling blood cell regulation --- high-dimensional chaos
Interpretation
Standard analysis sees: left-skewed; red spectrum (low-frequency / 1-over-f power); time-irreversible (sharp rises, slow decay). The atlas additionally detects Spectral Analysis:spectral_slope.
What standard analysis sees
tail heaviness0.51
asymmetry0.06
occupancy0.83
short-range corr0.75
long-range memory0.51
spectral colour0.00
periodicity0.48
complexity0.20
time-irreversibility0.86
volatility clustering0.76
multifractality0.57
dimensionality0.39
nonstationarity0.48
What the atlas adds
Spectral Analysis:spectral_slope+2.5z
1/f spectral decay (β ≈ -1)
Atlas-extreme metrics the standard bank can’t predict for this source
AutoRegressive:ar_coef_1 | +2.6z | bank-miss 1.1σ |
H4 600-Cell:edge_walk_fraction | +2.1z | bank-miss 2.0σ |
Composition
dtypefloat64
range[0.2092, 1.385]
unique values16384 / 16384
mean ± std0.894 ± 0.282
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/Mackey-Glass.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Mackey-Glass.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Mackey-Glass.png)
Inflation (Substitution) > barcode
/d_curve/Mackey-Glass.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/Mackey-Glass.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/Mackey-Glass.png)
Ulam Spiral (Sacks) > default
/default/Mackey-Glass.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| 4-Torus Quasiperiodic | 3.28 | cross-origin |
| 5-Torus Quasiperiodic | 3.40 | cross-origin |
| 3-Torus Quasiperiodic | 3.44 | cross-origin |
Which Geometries Light Up
Boltzmann › Boltzmann:nn_dominance | rank 5/307 | 3.7652 |
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