Departamento de Matemática
http://hdl.handle.net/11449/22130
2019-07-16T10:20:27ZOn certain homological invariant and its relation with poincaré duality pairs
http://hdl.handle.net/11449/180057
On certain homological invariant and its relation with poincaré duality pairs
Andrade, Maria Gorete Carreira [UNESP]; Gazon, Amanda Buosi; de Lima, Amanda Ferreira
Let G be a group, S = {Si, i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a ℤ2 G-module. In [4] the authors defined a homological invariant E∗ (G, S, M), which is “dual” to the cohomological invariant E(G, S, M), defined in [1]. In this paper we present a more general treatment of the invariant E∗ (G, S, M) obtaining results and properties, under a homological point of view, which are dual to those obtained by Andrade and Fanti with the invariant E(G, S, M). We analyze, through the invariant E∗ (G, S, M), properties about groups that satisfy certain finiteness conditions such as Poincaré duality for groups and pairs.
2018-01-01T00:00:00ZNonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix
http://hdl.handle.net/11449/176187
Nonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix
Messias, Marcelo [UNESP]; Silva, Rafael Paulino [UNESP]
In this paper, we give an algebraic criterion to determine the nonchaotic behavior for polynomial differential systems defined in ℝ3 and, using this result, we give a partial positive answer for the conjecture about the nonchaotic dynamical behavior of quadratic three-dimensional differential systems having a symmetric Jacobian matrix. The algebraic criterion presented here is proved using some ideas from the Darboux theory of integrability, such as the existence of invariant algebraic surfaces and Darboux invariants, and is quite general, hence it can be used to study the nonchaotic behavior of other types of differential systems defined in ℝ3, including polynomial differential systems of any degree having (or not having) a symmetric Jacobian matrix.
2018-03-01T00:00:00ZSpectra of generalized stochastic adding machines
http://hdl.handle.net/11449/176042
Spectra of generalized stochastic adding machines
Messaoudi, Ali [UNESP]; Valle, Glauco
We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c0, c and lα, 1 ≤ α ≤ 1.
2018-01-01T00:00:00ZSingular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
http://hdl.handle.net/11449/176029
Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
Martínez-Alfaro, José; Meza-Sarmiento, Ingrid S. [UNESP]; Oliveira, Regilene D. S.
We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant.
2018-03-01T00:00:00Z