This work, we classify a non- degenerate center at the origin of a planar Hamiltonian system associated to a function of the form $H(x,y)=A(x)+B(x)y^2 + C(x)y^4$, where $A$, $B$ and $C$ are polynomials. After seing a ...

Let Λ be a trivial extension of Cartan class An. We find a combinatorial algorithm giving the configurations of ℤAn associated to Λ.

We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence. (C) 2011 Elsevier B.V. All ...

This article is devoted to criteria of Lipschitz equisingularity for families of real analytic map germs from (R-n. 0) to (R-p.0) with n >= p like g(lambda)(x) = g(x) + lambda h(x), where lambda is a small real number. The ...

Any group of type (Formula presented.) is obtained as the automorphism group of an Albert algebra. We prove that such a group is (Formula presented.) -trivial whenever the Albert algebra is obtained from the first Tits ...

This paper analyzes certain restrictions on polarity focus marking in clauses embedded under emotive factive predicates. It argues that these restrictions arise because this configuration leads to a systematic presupposition ...