Time-reversibility and integrability of p:-q resonant vector fields
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 (x,y)=(yp/q,xq/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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