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. Extra files are available that will find the saddle and start the process. It is designed to be used for 2-dimensional maps.
Detailed documentation will be available in the future; however, descriptions of each function are available in the respective files.

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Programming Language

MATLAB

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2018-02-22