An efficient algorithm for locating and continuing connecting orbits
Dynamical Systems
2025-10-20 v1 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.math/9812031,
title = {An efficient algorithm for locating and continuing connecting orbits},
author = {J. W. Demmel and L. Dieci and M. J. Friedman},
journal= {arXiv preprint arXiv:math/9812031},
year = {2025}
}
Comments
16 pages, 2 figures, 14 refs, E-mails [email protected], [email protected]