On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields
classification
🧮 math.DS
keywords
cyclesanalyticfamilyfieldslimitnumbertwo-saddlevector
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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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