Zobrazeno 1 - 10
of 26
pro vyhledávání: '"de Rezende, Ketty A."'
In this work we address the realizability of a Lyapunov graph labeled with GS singularities, namely regular, cone, Whitney, double crossing and triple crossing singularities, as continuous flow on a singular closed $2$-manifold $\mathbf{M}$. Furtherm
Externí odkaz:
http://arxiv.org/abs/2009.14823
In this work, singular surfaces are obtained from smooth orientable closed surfaces by applying three basic simple loop operations, collapsing operation, zipping operation and double loop identification, each of which produces different singular surf
Externí odkaz:
http://arxiv.org/abs/2006.06056
In this article, a spectral sequence analysis of a filtered Novikov complex $(\mathcal{N}_{\ast}(f),\Delta)$ over $\mathbb{Z}((t))$ is developed with the goal of obtaining results relating the algebraic and dynamical settings. Specifically, the unfol
Externí odkaz:
http://arxiv.org/abs/1610.08579
A theorem is established where the computation of the discrete Conley index for zero dimensional basic sets is given with respect to the dynamical information contained in the associated structure matrices. A classification of the reduced homology Co
Externí odkaz:
http://arxiv.org/abs/1504.03981
Autor:
Bertolim, Maria Alice, Lima, Dahisy V. S., Mello, Margarida P., de Rezende, Ketty A., da Silveira, Mariana R.
In this article we study algorithms that arise in both topological and dynamical settings, namely, the Spectral Sequence Sweeping Algorithm (SSSA) and the Row Cancellation Algorithm (RCA) for a filtered Morse chain complex on a manifold M. Both algor
Externí odkaz:
http://arxiv.org/abs/1408.6286
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 1546-1581
In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$. This classification gives necessary and sufficient conditions that must be satisfied by an
Externí odkaz:
http://arxiv.org/abs/1407.6401
This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general
Externí odkaz:
http://arxiv.org/abs/1311.3520
Publikováno v:
In Topology and its Applications 15 August 2018 245:62-91
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A bifurcation analysis of simple singularities: cones, cross-caps, double and triple crossing points
Publikováno v:
São Paulo Journal of Mathematical Sciences; 20240101, Issue: Preprints p1-15, 15p