Invariant algebraic sets and symmetrization of polynomial systems
نویسندگان
چکیده
منابع مشابه
Darboux integrability and invariant algebraic curves for planar polynomial systems
In this paper we study the normal forms of polynomial systems having a set of given generic invariant algebraic curves. PACS numbers: 02.30.Ik, 02.10.De
متن کاملAlgebraic invariant curves of plane polynomial differential systems
We consider a plane polynomial vector field P(x, y) dx +Q(x, y) dy of degree m > 1. With each algebraic invariant curve of such a field we associate a compact Riemann surface with the meromorphic differential ω = dx/P = dy/Q. The asymptotic estimate of the degree of an arbitrary algebraic invariant curve is found. In the smooth case this estimate has already been found by Cerveau and Lins Neto ...
متن کاملAlgebraic Invariant Curves and Algebraic First Integrals for Riccati Polynomial Differential Systems
We characterize the algebraic invariant curves for the Riccati polynomial differential systems of the form x′ = 1, y′ = a(x)y+ b(x)y+ c(x), where a(x), b(x) and c(x) are arbitrary polynomials. We also characterize their algebraic first integrals.
متن کاملOn invariant sets topology
In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...
متن کاملAlgebraic adjoint of the polynomials-polynomial matrix multiplication
This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2019
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2018.09.002