Hodgkin-Huxley
continuous-flows · 37 views
continuous-flowsintermittent
What It Is
Biophysical neuron --- action potentials with Na⁺/K⁺ channel kinetics, refractory periods
Interpretation
Standard analysis sees: right-skewed; red spectrum (low-frequency / 1-over-f power); time-irreversible (sharp rises, slow decay); low-dimensional. The atlas additionally detects Higher-Order Statistics:c3_energy.
What standard analysis sees
tail heaviness0.80
asymmetry0.91
occupancy0.47
short-range corr0.82
long-range memory0.75
spectral colour0.02
periodicity0.66
complexity0.48
time-irreversibility0.98
volatility clustering0.83
multifractality0.80
dimensionality0.10
nonstationarity0.61
What the atlas adds
Higher-Order Statistics:c3_energy+5.3z
third-cumulant burst energy (SOC irreducibility signature)
Atlas-extreme metrics the standard bank can’t predict for this source
Mostow Rigidity:laplacian_perturbation_stability | -2.8z | bank-miss 1.0σ |
Composition
dtypefloat64
range[-75.28, 33.75]
unique values16384 / 16384
mean ± std-55.9 ± 24.2
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/Hodgkin-Huxley.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Hodgkin-Huxley.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Hodgkin-Huxley.png)
Inflation (Substitution) > barcode
/d_curve/Hodgkin-Huxley.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/Hodgkin-Huxley.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/Hodgkin-Huxley.png)
Ulam Spiral (Sacks) > default
/default/Hodgkin-Huxley.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Blood Pressure Waveform | 4.16 | cross-origin |
| BTC Volatility | 4.39 | cross-origin |
| GOES X-Ray Flux | 4.54 | cross-origin |
Which Geometries Light Up
Higher-Order Statistics › Higher-Order Statistics:c3_energy | rank 4/306 | 2.9768 |
Lorentzian › Lorentzian:causal_persistence | rank 4/306 | 0.8969 |
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