Now showing items 1-10 of 38
On an approximate analytical solution to a nonlinear vibrating problem, excited by a nonideal motor
(Nonlinear Dynamics, 2007-12-01) [Artigo]
This paper analyzes through Multiple Scales Method a response of a simplified nonideal and nonlinear vibrating system. Here, one verifies the interactions between the dynamics of the DC motor (excitation) and the dynamics ...
The relationship between differential equations with piecewise constant argument and the associated discrete equations, via dichotomic maps
(Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 2005-12-01) [Artigo]
Dichotomic maps are considered by means of the stability and asymptotic stability of the null solution of a class of differential equations with argument [t] via associated discrete equations, where [.] designates the ...
Boundary oscillations and nonlinear boundary conditions
(Comptes Rendus Mathematique, 2006-07-15) [Artigo]
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type partial derivative u/partial derivative n + g(x, u) = 0. We show ...
Remarks on the normal bordism forgetful homomorphism
(Far East Journal of Mathematical Sciences, 2009-09-01) [Artigo]
Assume that X is an oriented smooth (n+k)-manifold. Then the kernel of the forgetful map F considered in this work consists of immersions f: Mn → X nullbordant as a continuous map. Using an exact sequence of normal bordism ...
Abelianized obstruction for fixed points of fiber-preserving maps of surface bundles
(Topological Methods in Nonlinear Analysis, 2009-06-01) [Artigo]
Let f: M -> M be a fiber-preserving map where S -> M -> B is a bundle and S is a closed surface. We study the abelianized obstruction, which is a cohomology class in dimension 2, to deform f to a fixed point free map by a ...
Fixed points on Klein bottle fiber bundles over the circle
(Fundamenta Mathematicae, 2009-01-01) [Artigo]
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be ...
Remarks on immersions in the metastable dimension range
(Proceedings of the Edinburgh Mathematical Society, 2004-06-01) [Artigo]
In this work we present a generalization of an exact sequence of normal bordism groups given in a paper by H. A. Salomonsen (Math. Scand. 32 (1973), 87-111). This is applied to prove that if h : M-n --> Xn+k, 5 less than ...
Infra-abelian groups and free actions of finite groups on the N-torus
(Communications in Algebra, 2002-06-01) [Artigo]
On codimensions k immersions of m-manifolds for k=1 and k=m-2
(Manuscripta Mathematica, 2008-08-01) [Artigo]
Let us consider M a closed smooth connected m-manifold, N a smooth ( 2m-2)-manifold and f: M -> N a continuous map, with m equivalent to 1( 4). We prove that if f*: H(1)(M; Z(2)) -> H(1)(f(M); Z(2)) is injective, then f ...
Rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a Lipschitz deformation
(Mathematical Models & Methods In Applied Sciences, 2007-10-01) [Artigo]
We analyze the behavior of solutions of nonlinear elliptic equations with nonlinear boundary conditions of type partial derivative u/partial derivative n + g( x, u) = 0 when the boundary of the domain varies very rapidly. ...