کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641831 1341320 2009 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition of algebraic sets and applications to weak centers of cubic systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Decomposition of algebraic sets and applications to weak centers of cubic systems
چکیده انگلیسی

There are many methods such as Gröbner basis, characteristic set and resultant, in computing an algebraic set of a system of multivariate polynomials. The common difficulties come from the complexity of computation, singularity of the corresponding matrices and some unnecessary factors in successive computation. In this paper, we decompose algebraic sets, stratum by stratum, into a union of constructible sets with Sylvester resultants, so as to simplify the procedure of elimination. Applying this decomposition to systems of multivariate polynomials resulted from period constants of reversible cubic differential systems which possess a quadratic isochronous center, we determine the order of weak centers and discuss the bifurcation of critical periods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 232, Issue 2, 15 October 2009, Pages 565–581
نویسندگان
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