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arXiv · 2212.09063

A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness

Victoriano Carmona·Fernando Fernández-Sánchez·Douglas D. Novaes
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Abstract

We close the problem of the existence of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. In fact, a characterization for the existence of such objects is provided by means of a few basic operations on the parameters.

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Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes. 2022-12-18. A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. https://doi.org/10.1007/s00332-023-09947-5

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