Hénon-Heiles

continuous-flows · 37 views
continuous-flowschaotic

What It Is

Hamiltonian chaos in a 2D potential: V = ½(x²+y²) + x²y - y³/3. Conservative (no attractor), energy-surface confinement. At E=1/8 mixed regular/chaotic phase space

Interpretation

Standard analysis sees: no strongly notable standard properties. The atlas additionally detects Multifractal Spectrum:hurst_estimate. It sits beside Duffing Oscillator in the atlas (standard-bank rank 59) — a neighbor conventional features miss.

What the atlas adds
Multifractal Spectrum:hurst_estimate+2.2z
self-affinity H = τ(2)/2 (alternate to Hölder hurst)
Atlas-extreme metrics the standard bank can’t predict for this source
Visibility Graph:assortativity+2.1zbank-miss 1.7σ

Composition

dtypefloat64
range[-0.5682, 0.5031]
unique values16222 / 16384
mean ± std-0.0472 ± 0.258

Render Gallery

Atlas Position

Nearest neighborDistance
Spring Pendulum2.79
Duffing Oscillator2.88
Rossler Attractor2.94

Open in Atlas →

Which Geometries Light Up

Hodge–LaplacianHodge–Laplacian:solenoidal_fractionrank 5/3070.9962
Navier-StokesNavier-Stokes:sl_fit_qualityrank 303/307-0.9944
in atmospheric
alphabetical
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources