Per citar aquest document: http://ddd.uab.cat/record/12928
Meandering of trajectories of polynomial vector fields in the affine n-space
Novikov, D. (The Weizmann Institute of Science (Israel). Department of Theoretical Mathematics)
Yakovenko, S. (The Weizmann Institute of Science (Israel). Department of Theoretical Mathematics)

Data: 1997
Resum: 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. This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted or at best indicated.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 41 n. 1 (1997) p. 223-242, ISSN 0214-1493



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