Limit cycles for a class of eleventh mathbb{Z}₁₂-equivariant systems without infinite critical points
classification
🧮 math.DS
keywords
dynamicsequivariantlimitmathbbsystemsabelallowanalyze
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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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