Instability of equilibria in dimension three

Annales de l'Institut Fourier

Volumn 48, Issue 5, 1998, Pages 1345-1357

  Brunella, Marco ^a  

^a UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

Blow ups; Invariant manifolds; Singularities of vector fields; Stability problems

Indexed keywords

EID: 0032264592     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1657     Document Type: Article

References (6)

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2. 3 whose linear part generates a rotation, Jour. Diff. Eq., 102 (1980). 95-116.
3. F. CANO, Desingularization strategies for three-dimensional vector fields, Springer Lecture Notes 1259 (1987).
4. F. CANO, Final forms for a three dimensional vector field under blowing-up, Ann. Inst. Fourier, 37-2 (1987), 151-193.
5. V.P. PALAMODOV, Stability of equilibria in a potential field, Funct. Anal. Appl., 11 (1977), 42-55.
6. F. SANCHO DE SALAS, Desingularizacion, residuos y solucior de las ecuaciones diferenciales, Thesis, Univ. de Salamanca (1996).