Smooth Schur factorizations in the continuation of separatrices

Abstract

Numerical computation of separatrices as general connecting orbits in dynamical systems is performed, and their continuation as problem parameters vary is approached via a direct application of smooth block Schur factorizations of Jacobians and monodromy matrix functions. Several numerical examples are presented to illustrate the effectiveness of the algorithms used.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.laa.2006.04.004

Publication Date

2007

Journal Title

Linear algebra and its applications

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