Introduction to Simplicial Dynamical Systems 1999 Memoirs AMS 667
نویسنده
چکیده
منابع مشابه
We Got Rhythm: Dynamical Systems of the Nervous System, Volume 47, Number 1
6 NOTICES OF THE AMS VOLUME 47, NUMBER
متن کاملNonconforming Galerkin Methods Based on Quadrilateral Elements for Second Order Elliptic Problems
Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P1, as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Op...
متن کاملSheaves on Triangulated Spaces and Koszul Duality
Let X be a finite connected simplicial complex, and let δ be a perversity (i.e., some function from integers to integers). One can consider two categories: (1) the category of perverse sheaves cohomologically constructible with respect to the triangulation, and (2) the category of sheaves constant along the perverse simplices (δ-sheaves). We interpret the categories (1) and (2) as categories of...
متن کاملGenerating Simplicial Complexes
In the spirit of topological entropy we introduce new complexity functions for general dynamical systems (namely groups and semigroups acting on closed manifolds) but with an emphasis on the dynamics induced on underlying simplicial complexes. For expansive systems remarkable properties are observed. Known examples are revisited and new examples are presented.
متن کاملSimplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series
Topology-based analysis of time-series data from dynamical systems is powerful: it potentially allows for computer-based proofs of the existence of various classes of regular and chaotic invariant sets for high-dimensional dynamics. Standard methods are based on a cubical discretization of the dynamics and use the time series to construct an outer approximation of the underlying dynamical syste...
متن کامل