An efficient algorithm for locating and continuing connecting orbits

Details An efficient algorithm for locating and continuing connecting orbits An efficient algorithm for locating and continuing connecting orbits

1998-12-04

arxiv.org/abs/math/9812031v1

Mathematics

Dynamical Systems

16 pages, 2 figures, 14 refs, E-mails dieci@math.gatech.edu, friedman@math.uah.edu

Scientific paper

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [9]. 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 different contexts than the present one.

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