Lyapunov families

Lyapunov 8

A curated gallery of numerically continued choreographies and their animated trajectories.

6 examples

Overview

These pages display representative branches of Lyapunov families continued numerically from polygonal relative equilibria of the Newtonian $n$-body problem. The computations use accurate boundary-value continuation techniques; the resulting branches organize both planar and spatial choreographies.

Each card shows a still image and the corresponding animation. The label records the family, resonance or branch used in the computation.