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

Lubomir Gavrilov; Marcin Bobie\'nski

arxiv: 1307.4121 · v1 · pith:M54VYTEAnew · submitted 2013-07-15 · 🧮 math.DS

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

Marcin Bobie\'nski , Lubomir Gavrilov This is my paper

classification 🧮 math.DS

keywords cyclicitydarbouxfiniteloopquadraticslow-fastboundeddouble

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

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

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