Structural stability and normal forms of piecewise smooth vector fields on $\mathbb R^3$
نویسندگان
چکیده
منابع مشابه
Polynomial Normal Forms for Vector Fields on R3
The present paper is devoted to studying a class of smoothly (C∞) finitely determined vector fields on R3. Given any such generic local system of the form ẋ = Ax + · · · , where A is a 3 × 3 matrix, we find the minimal possible number i(A) such that the vector field is i(A)-jet determined, and we find the number μ(A) of moduli in the C∞ classification. We also give a list of the simplest normal...
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ژورنال
عنوان ژورنال: Publicationes Mathematicae Debrecen
سال: 2015
ISSN: 0033-3883
DOI: 10.5486/pmd.2015.5948