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An efficient algorithm for locating and continuing connecting orbits

J. W. Demmel·L. Dieci·M. J. Friedman
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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.

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J. W. Demmel, L. Dieci, M. J. Friedman. 1998-12-04. An efficient algorithm for locating and continuing connecting orbits. https://arxiv.org/abs/math/9812031

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