Hénon-Heiles

chaos · 36 views
chaos

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 detects no named structure beyond this. It sits beside Duffing Oscillator in the atlas (standard-bank rank 29) — a neighbor conventional features miss.

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

Render Gallery

Atlas Position

Nearest neighborDistance
Spring Pendulum2.68cross-domain
Magnetic Pendulum (3-Magnet)2.73cross-domain
Duffing Oscillator2.85

Open in Atlas →

Which Geometries Light Up

Hodge–LaplacianHodge–Laplacian:solenoidal_fractionrank 5/2980.9965
in climate
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← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources