Using algorithms of computational algebra we prove that at most eight limit cycles can bifurcate from any center or focus at the origin of the cubic system x = ̇ λx + i(x − a−12 x2 − a20 x3 − a11 x2 x − a02 x ̄2 ). That is, an upper bound for cyclicity of the ̄ ̄ x origin of the system is eight.
The Cyclicity of a Cubic System
LOGAR, ALESSANDRO;
2009-01-01
Abstract
Using algorithms of computational algebra we prove that at most eight limit cycles can bifurcate from any center or focus at the origin of the cubic system x = ̇ λx + i(x − a−12 x2 − a20 x3 − a11 x2 x − a02 x ̄2 ). That is, an upper bound for cyclicity of the ̄ ̄ x origin of the system is eight.File in questo prodotto:
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