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
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Sprache:eng
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B. ANALYSIS
Dynamical Systems
Mathematics
Research article
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container_title Proceedings of the American Mathematical Society
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creator Bobieński, Marcin
Gavrilov, Lubomir
description We prove that the cyclicity of a slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.
doi_str_mv 10.1090/proc/12678
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subjects B. ANALYSIS
Dynamical Systems
Mathematics
Research article
title Finite cyclicity of slow-fast Darboux systems with a two-saddle loop
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