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arXiv · 1511.09243

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

Adrian C. Murza
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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. 2015-11-30. Limit cycles for a class of eleventh $\mathbb{Z}_{12}-$equivariant systems without infinite critical points. https://arxiv.org/abs/1511.09243

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