Formation of a homoclinic tangle

A dense collection of points near a saddle point are mapped 15 consecutive times forwards and backwards according to a nonlinear map, modulated by a nonlinear parameter k. These points trace out portions of the stable and unstable manifolds of the saddle point.

As k increases, the stable and unstable manifolds intersect—and once they intersect a single time, they must intersect an infinite number of times, triggering transient chaotic behavior.

[АлексейМельников-лп]

have you github with code of the progam?