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
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.