منابع مشابه
Weak-foci of High Order and Cyclicity
A particular version of the 16th Hilbert’s problem is to estimate the number, M(n), of limit cycles bifurcating from a singularity of center-focus type. This paper is devoted to finding lower bounds for M(n) for some concrete n by studying the cyclicity of different weak-foci. Since a weak-focus with high order is the most current way to produce high cyclicity, we search for systems with the hi...
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Weak-Order Extensions of an Order
In this paper, at rst we describe a graph representing all the weak-order extensions of a partially ordered set and an algorithm generating them. Then we present a graph representing all of the minimal weak-order extensions of a partially ordered set, and implying a generation algorithm. Finally, we prove that the number of weak-order extensions of a partially ordered set is a comparability inv...
متن کاملWeak order polytopes
The weak order polytope P n WO is the polytope in R n(n?1) whose ver-tices correspond to the members of the family of reeexive weak orders on f1; 2 : : : ; ng when each coordinate of R n(n?1) is associated with a diierent ordered pair (i; j) of distinct points in f1; 2; : : : ; ng. The vertex w that corresponds to weak order W has w (i;j) = 1 if i-j in W and has w (i;j) = 0 otherwise, with P n ...
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ژورنال
عنوان ژورنال: Qualitative Theory of Dynamical Systems
سال: 2016
ISSN: 1575-5460,1662-3592
DOI: 10.1007/s12346-016-0189-9