On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields

Details On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields

2011-06-04

arxiv.org/abs/1106.0857v2

Mathematics

Dynamical Systems

21 pages, 10 figures, added references, corrected misprints

Scientific paper

We prove that every heteroclinic saddle loop (a two-saddle cycle) occurring
in an analytic finite-parameter family of plane analytic vector fields, may
generate no more than a finite number of limit cycles within the family.

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