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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2005 Volume 17, Number 1, Pages 10–18 (Mi mm139)

This article is cited in 1 paper

A reduced graph algorithm to investigate bifurcations

Yu. V. Troshchiev

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: An algorithm of construction of some subgraph of bifurcation graph for symmetrical systems of equations is reported in the paper. It is proved also that the subgraph contains one and only one representative from every equivalence class of complete bifurcation routes. One more algorithm is developed which is more effectively deletes conjugate structures.

Received: 11.03.2004



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