Abstract
In this paper, we propose a path-following method for computing a curve of equilibria of a dynamical system, based upon the smooth Singular Value Decomposition (SVD) of the Jacobian matrix. Our method is capable of detecting fold points, and continuing past folds. It is also able to detect branch points and to switch branches at such points. Algorithmic details and examples are given. © Springer-Verlag Berlin Heidelberg 2006.
Cite
CITATION STYLE
Dieci, L., Gasparo, M. G., & Papini, A. (2006). Path following by SVD. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3994 LNCS-IV, pp. 677–684). Springer Verlag. https://doi.org/10.1007/11758549_92
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