Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Lima, Dahisy V. S."'
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, we present a dynamical homotopical cancellation theory for Gutierrez-Sotomayor singular flows $\varphi$, GS-flows, on singular surfaces $M$. This theory generalizes the classical theory of Morse complexes of smooth dynamical systems
Externí odkaz:
http://arxiv.org/abs/2004.13855
In this paper, we apply Conley index theory in a covering space of an invariant set $S$, possibly not isolated, in order to describe the dynamics in $S$. More specifically, we consider the action of the covering translation group in order to define a
Externí odkaz:
http://arxiv.org/abs/1912.04929
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
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
Akademický článek
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Publikováno v:
Topological Methods in Nonlinear Analysis; 2022, Vol. 60 Issue 1, p221-265, 45p
