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arXiv · 2211.12411

Time-reversibility and integrability of p:-q resonant vector fields

Jaume Gine·Valery G. Romanovski·Joan Torregrosa
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Abstract

We study local analytical integrability in a neighborhood of $p:-q$ resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution $ \varphi(x,y)=(y^{p/q},x^{q/p}). $ Some generalizations of the theory developed by K.~S.~Sibirsky for $1:-1$ resonant case to the $p:-q$ resonant case are presented.

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Jaume Gine, Valery G. Romanovski, Joan Torregrosa. 2022-11-22. Time-reversibility and integrability of p:-q resonant vector fields. https://arxiv.org/abs/2211.12411

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