Period-Doubled Wave
waveform · 36 views
waveform
What It Is
Oversampled period-2 oscillation --- a sinusoid whose alternate base cycles carry different amplitude, the canonical orbit just past a period-doubling bifurcation. Carries a subharmonic at f/2 (full period = two base cycles). The oversampled continuous analog of the critically-sampled period-2/4 maps, which the atlas otherwise lacks.
Composition
dtypefloat64
range[-1, 1]
unique values16384 / 16384
mean ± std-0.00503 ± 0.593
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/Period-Doubled_Wave.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Period-Doubled_Wave.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Period-Doubled_Wave.png)
Inflation (Substitution) > barcode
/d_curve/Period-Doubled_Wave.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/Period-Doubled_Wave.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/Period-Doubled_Wave.png)
Ulam Spiral (Sacks) > default
/default/Period-Doubled_Wave.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Sine Wave | 2.77 | |
| Duffing Oscillator | 2.89 | cross-domain |
| Hénon-Heiles | 3.08 | cross-domain |
Which Geometries Light Up
Bispectrum › Bispectrum:off_diagonal_ratio | rank 5/298 | 0.8841 |
Catch24 › Catch24:CO_HistogramAMI_even_2_5 | rank 5/298 | 1.4484 |
Hodge–Laplacian › Hodge–Laplacian:solenoidal_fraction | rank 3/298 | 0.9970 |
Hodge–Laplacian › Hodge–Laplacian:curl_div_ratio | rank 4/298 | 5.8377 |
Hölder Regularity › Hölder Regularity:hurst_exponent | rank 4/298 | 0.9305 |
Klein Bottle › Klein Bottle:orientation_coherence | rank 5/298 | 0.9959 |
Multifractal Spectrum › Multifractal Spectrum:hurst_estimate | rank 4/298 | 0.9143 |
p-Variation › p-Variation:variation_index | rank 294/298 | 1.0008 |
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources