Finite cyclicity of slow-fast Darboux systems with a two-saddle loop

Finite cyclicity of slow-fast Darboux systems with a two-saddle loop

We prove that the cyclicity of a slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-10, Vol.144 (10), p.4205-4219
Hauptverfasser: Bobieński, Marcin, Gavrilov, Lubomir
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
Dynamical Systems
Mathematics
Research article
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Zusammenfassung:We prove that the cyclicity of a slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/12678