Limit cycles for a class of eleventh $\mathbb{Z}_{12}-$equivariant systems without infinite critical points

Published 30 Nov 2015 in math.DS | (1511.09243v3)

Abstract: We analyze the complex dynamics dynamics of a family of $\mathbb{Z}_{12}-$equivariant planar systems, by using their reduction to an Abel equation. We derive conditions in the parameter space that allow uniqueness and hyperbolicity of a limit cycle surrounding either $1,~13$ or $25$ equilibria.

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Adrian C. Murza

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