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Small-Amplitude Limit Cycles of Certain Lienard Systems

✍ Scribed by Lloyd, N. G.; Lynch, S.

Book ID: 120149130
Publisher: The Royal Society
Year: 1988
Tongue: English
Weight: 342 KB
Volume: 418
Category: Article
ISSN: 0962-8444
DOI: 10.1098/rspa.1988.0079

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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