Duffing Oscillator

chaos · 36 views
chaos

What It Is

Driven damped nonlinear oscillator --- strange attractor with broad amplitude visits

Interpretation

Standard analysis sees: rich, high-entropy values; 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 finds no named structure, but the source is distinctively extreme on Laplacian:curvature_autocorrelation (+2.0z) — beyond what the standard bank predicts for it. It sits beside Sine Wave in the atlas (standard-bank rank 51) — a neighbor conventional features miss.

What standard analysis sees
tail heaviness0.32
asymmetry0.27
occupancy0.89
short-range corr0.96
long-range memory0.90
spectral colour0.13
periodicity0.57
complexity0.08
time-irreversibility0.21
volatility clustering0.96
multifractality0.81
dimensionality0.23
nonstationarity0.60
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Laplacian:curvature_autocorrelation+2.0zbank-miss 1.1σ

Composition

dtypefloat64
range[-1.483, 1.497]
unique values16384 / 16384
mean ± std-0.0356 ± 0.86

Render Gallery

Atlas Position

Nearest neighborDistance
Hénon-Heiles2.85
Period-Doubled Wave2.89cross-domain
Chua's Circuit3.00cross-domain

Open in Atlas →

Which Geometries Light Up

ChladniChladni:modal_nodal_cascaderank 297/298-0.5758
Hodge–LaplacianHodge–Laplacian:curl_div_ratiorank 5/2985.6855
LaplacianLaplacian:cross_scale_curvature_coherencerank 5/2980.9985
LaplacianLaplacian:curvature_autocorrelationrank 5/2980.9985
Ulam Spiral (Square)Ulam Spiral (Square):diagonal_alignmentrank 294/298-0.2512
in motion
alphabetical
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources