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20 p, 170.2 KB Meandering of trajectories of polynomial vector fields in the affine n-space / Novikov, D. (Weizmann Institute of Science (Israel). Department of Science Teaching) ; Yakovenko, S. (Weizmann Institute of Science (Israel). Department of Science Teaching)
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane. The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives. [...]
1997 - 10.5565/PUBLMAT_41197_14
Publicacions matemàtiques, V. 41 n. 1 (1997) p. 223-242  
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