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arXiv · 1504.04530

Every period annulus is both reversible and symmetric

Marco Sabatini
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Abstract

We prove that for every planar differential system with a period annulus there exists an involution $σ$ such that the system is $σ$-symmetric. We also prove that for for every planar differential system with a period annulus there exist infinitely many involutions $σ$ such that the system is $σ$-reversible.

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Marco Sabatini. 2015-04-17. Every period annulus is both reversible and symmetric. https://arxiv.org/abs/1504.04530

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