Coupled Map Lattice
coupled-oscillators · 37 views
coupled-oscillatorschaotic
What It Is
Spatiotemporal chaos in coupled logistic maps --- chimera states and coherence-incoherence patterns
Interpretation
Standard analysis sees: left-skewed; anti-correlated (alternating); blue spectrum (high-frequency power); time-irreversible (slow rise, sharp collapse); monofractal; high-dimensional / space-filling. The atlas detects no named structure beyond this.
What standard analysis sees
tail heaviness0.61
asymmetry0.14
occupancy0.56
short-range corr0.05
long-range memory0.18
spectral colour0.95
periodicity0.28
complexity0.72
time-irreversibility0.14
volatility clustering0.51
multifractality0.11
dimensionality0.85
nonstationarity0.41
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[0.4006, 0.8594]
unique values16384 / 16384
mean ± std0.659 ± 0.0623
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/Coupled_Map_Lattice.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Coupled_Map_Lattice.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Coupled_Map_Lattice.png)
Inflation (Substitution) > barcode
/d_curve/Coupled_Map_Lattice.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/Coupled_Map_Lattice.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/Coupled_Map_Lattice.png)
Ulam Spiral (Sacks) > default
/default/Coupled_Map_Lattice.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Blue Noise | 3.16 | cross-origin |
| GUE Spacings | 3.22 | cross-origin |
| GOE Spacings | 3.50 | cross-origin |
Which Geometries Light Up
2-adic › 2-adic:valuation_spectral_concentration | rank 305/306 | 0.0465 |
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