✦ LIBER ✦

Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus

✍ Scribed by Jaume Llibre; João C. Medrado

Publisher: Elsevier Science
Year: 2011
Tongue: French
Weight: 115 KB
Volume: 135
Category: Article
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2010.06.005

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✦ Synopsis

We study the polynomial vector fields of arbitrary degree in R 3 having the 2-dimensional torus

invariant by their flow. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant either meridians or parallels can be limit cycles.

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