Small amplitude limit cycles of symmetri
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Terence R. Blows
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Article
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2008
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Elsevier Science
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English
⚖ 444 KB
Hilbert's Sixteenth Problem concerns the number and relative position of limit cycles in a planar polynomial system of differential equations. We show, using multiple Hopf bifurcation from multiple fine foci, that limit cycle configurations of types (3, 3, -2, -2) and (2, 2, 1, 1, -1) occur in symme