HomMap is a library of Fortran routines to AUTO97 or AUTO94 for detection and continuation of homoclinic (and heteroclinic) points to periodic orbits and their bifurcations for maps. If the stable manifold or the unstable manifold is of dimension one, then the software can search homoclinic (or heteroclinic) points and users do not have to know their locations in advance. Periodically forced systems can also be analyzed with the Poincare maps. In addition, local bifurcation analysis for periodically forced systems can be more easily performed with HomMap than only with AUTO. A new version by which homoclinic orbits for periodic orbits in autonomous systems can be analyzed is coming soon. HomMap requires that AUTO97 or AUTO94 is installed, and it does not run under AUTO86 and AUTO2000.

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  1. Yagasaki, Kazuyuki: Computation of low energy Earth-to-Moon transfers with moderate flight time (2004)