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arXiv · 2405.08236

Existence of attracting invariant 2-curves in fibred quadratic dynamics

Igsyl Domínguez
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Abstract

We present a construction of new invariant sets for fibred polynomial dynamics with base an irrational rotation over the unit circle, called multi-curves. Furthermore, the local dynamical theory for attracting invariant curves is extended to these objects.

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Igsyl Domínguez. 2024-05-13. Existence of attracting invariant 2-curves in fibred quadratic dynamics. https://arxiv.org/abs/2405.08236

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