Reduction of Discrete Dynamical Systems over Graphs
نویسندگان
چکیده
In this paper we study phase space relations in a certain class of discrete dynamical systems over graphs. The systems we investigate are called Sequential Dynamical Systems (SDSs), which are a class of dynamical systems that provide a framework for analyzing computer simulations. Specifically, an SDS consists of (i) a finite undirected graph Y with vertex set {1, 2, . . . , n} where each vertex has associated a binary state, (ii) a collection of Y -local functions (Fi,Y )i∈v[Y ] with Fi,Y : F2 → F2 and (iii) a permutation π of the vertices of Y . The SDS induced by (i)–(iii) is the map [FY , π] = Fπ(n),Y ◦ · · · ◦ Fπ(1),Y .
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ورودعنوان ژورنال:
- Advances in Complex Systems
دوره 7 شماره
صفحات -
تاریخ انتشار 2004