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Criterion of high-codimensional bifurcations with several pairs of purely imaginary eigenvalues

✍ Scribed by Zhi-Ming Wu; Wei-min Liu


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
571 KB
Volume
267
Category
Article
ISSN
0024-3795

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✦ Synopsis


This paper presents a criterion for high-codimensional bifurcations with several pairs of purely imaginary eigenvalues in terms of the properties of coefficients of characteristic polynomials instead of those of eigenvalues. It uses the Routh-Hurwitz determinants and is convenient in the symbolic analysis of complicated systems.