Geodesic
Multiplicities of limit cycles appearing after perturbations of hyperbolic polycycles
Sbornik. Mathematics, Tome 214 (2023) no. 2, pp. 226-245

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the multiplicity of limit cycles appearing after a perturbation of a hyperbolic polycycle with generic set of characteristic numbers is considered. In particular, it is proved that the multiplicity of any limit cycle appearing after a perturbation in a smooth finite-parameter family does not exceed the number of separatrix connections forming the polycycle. Bibliography: 10 titles.
Keywords: multiple fixed points.
Mots-clés : limit cycles, polycycles 
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     author = {A. V. Dukov},
     title = {Multiplicities of limit cycles appearing after perturbations of hyperbolic polycycles},
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     url = {http://geodesic.mathdoc.fr/item/SM_2023_214_2_a4/}
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A. V. Dukov. Multiplicities of limit cycles appearing after perturbations of hyperbolic polycycles. Sbornik. Mathematics, Tome 214 (2023) no. 2, pp. 226-245. http://geodesic.mathdoc.fr/item/SM_2023_214_2_a4/