Lyapunov family for k = 6
Hover over the image to preview the animation, or click to open it.
Lyapunov families
Lyapunov n+1
A curated gallery of numerically continued choreographies and their animated trajectories.
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.
Gallery
Lyapunov family for k = 2
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k = 4
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k = 0
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k =7
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k =2
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k =5
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k =4
Hover over the image to preview the animation, or click to open it.
Lyapunov family for k =0
Hover over the image to preview the animation, or click to open it.