Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus
Monday, 10. October 2011, 15:30 - 16:30
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Contact Joao Carlos Medrado (Universidade de Goias)
Abstract:
In this talk for the polynomial vector fields of arbitrary degree in $mathbb{R}^3$ having the $2$--dimensional torus
$$mathbb{T}={(x,y,z) in mathbb{R}^3 : (x^2+y^2-a^2)^2+z^2=1},$$with $a>1$, 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.
This is a joint work with Jaume Llibre.
Location Centre de Recerca Matemàtica (A1 (C3b/-102))