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Small amplitude limit cycles of symmetric cubic systems

โœ Scribed by Terence R. Blows

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
444 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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 symmetric cubic systems.

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