论文标题

P:-Q共振向量字段的时间可逆性和集成性

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

论文作者

Gine, Jaume, Romanovski, Valery G., Torregrosa, Joan

论文摘要

我们研究二维矢量场的$ P:-Q $共振奇异点的局部分析可集成性,及其与非平滑互动$φ(x,y)=(y^{p/q} =(y^{p/q}},x^{q/p})相对于时间可逆性的联系。 $提出了$ 1:-1 $ resonant案例对$ p:-q $共振案例开发的理论的一些概括。

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 $ φ(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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