COMPUTING CONNECTING ORBITS VIA AN IMPROVED ALGORITHM FOR CONTINUING INVARIANT SUBSPACES.

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [Numer. Algorithms, 14 (1997), pp. 103­124]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces. The latter algorithm is of independent interest and can be used in contexts different than the present one. [ABSTRACT FROM AUTHOR]