Instability with two zero frequencies

Z. Wiener*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageAmerican English
Pages (from-to)58-67
Number of pages10
JournalJournal of Differential Equations
Issue number1
StatePublished - May 1993
Externally publishedYes


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