Instability with two zero frequencies

Z. Wiener

doi:10.1006/jdeq.1993.1041

Instability with two zero frequencies

Z. Wiener^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this work the instability of a degenerate equilibrium position is studied through the formal series solutions. The inversion of the Lagrange-Dirichlet stability theorem is proved in the case of two zero eigenvalues and a nondegenerate Newton′s diagram. This case includes all singularities appearing in a nonremovable way in families depending on not more than 16 parameters.

Original language	English
Pages (from-to)	58-67
Number of pages	10
Journal	Journal of Differential Equations
Volume	103
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1993.1041
State	Published - May 1993
Externally published	Yes

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10.1006/jdeq.1993.1041

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AB - In this work the instability of a degenerate equilibrium position is studied through the formal series solutions. The inversion of the Lagrange-Dirichlet stability theorem is proved in the case of two zero eigenvalues and a nondegenerate Newton′s diagram. This case includes all singularities appearing in a nonremovable way in families depending on not more than 16 parameters.

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Instability with two zero frequencies

Abstract

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