This is an implementation that follows closely the algorithm for calculating stable curves, described by J. P. England, B. Krauskopf, H. M. Osinga in the paper "Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse" published in SIAM J. APPLIED DYNAMICAL SYSTEMS 3.2 (2004), 161-190.
The package also contains an implementation for calculating the unstable curves which is based on the paper "Growing 1D and Quasi-2D Unstable Manifolds of Maps" by Bernd Krauskopf and Hinke Osinga published in Journal of Computational Physics (Oct 1998), Volume 146, 404-419. ...