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- W2363500562 abstract "In order to analyze the high order bifurcation of system, the simplest normal form (SNF) for the singularity of a pure imaginary pair and double zero eigenvalues was studied by using matrix representation method. It is proved that only the transformations on linear operators' complementary subspace can be used to simplify high order normal form based on conventional normal form (CNF). That one step transformation was adopted and the relationship between SNF and CNF was obtained by comparing the coefficients of similar terms successively. The results show that the number of high order SNF elimination are determined by the preceding order transformations and the SNF is unique for a fixed form. The SNF up to k(k≥3) order and computer program surcing Mathematica are given to facilitate the application of the method." @default.
- W2363500562 created "2016-06-24" @default.
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- W2363500562 date "2006-01-01" @default.
- W2363500562 modified "2023-09-24" @default.
- W2363500562 title "Simplest Normal Form for Singularity with a Pure Imaginary Pair and Double Zero Eigenvalues" @default.
- W2363500562 hasPublicationYear "2006" @default.
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