The authors study a class of discrete dynamical systems that is motivated by the generic structure of simulations. The systems consist of the following data: (a) a finite graph Y with vertex set {l_brace}1,...,n{r_brace} where each vertex has a binary state, (b) functions F{sub i}:F{sub 2}{sup n} {r_arrow} F{sub 2}{sup n} and (c) an update ordering {pi}. The functions F{sub i} update the binary state of vertex i as a function of the state of vertex i and its Y-neighbors and leave the states of all other vertices fixed. The update ordering is a permutation of the Y-vertices. They derive a decomposition result, characterize invertible SDS and study fixed points. In particular they analyze how many different SDS that can be obtained by reorder...
AbstractSequential dynamical systems have been developed as a basis for a theory of computer simulat...
In this paper we study the evolution of sequential dynamical systems (SDS) asaresult of the erroneou...
This book provides an introduction to the analysis of discrete dynamical systems. The content is pre...
The generic structure of computer simulations motivates a new class of discrete dynamical systems th...
AbstractWe study a class of discrete dynamical systems that consists of the following data: (a) a fi...
AbstractWe study a class of discrete dynamical systems that consists of the following data: (a) a fi...
AbstractWe study a class of discrete dynamical systems that consist of the following data: (a) a fin...
Sequential dynamical systems have the property, that the updates of states of individual cells occur...
In discrete processes, as computational or genetic ones, there are many entities and each entity has...
A class of finite discrete dynamical systems, called Sequential Dynamical Systems (SDSs), was introd...
AbstractSequential dynamical systems have the property, that the updates of states of individual cel...
We study counting various types of configurations in certain classes of graph automata viewed as dis...
Abstract. Discrete dynamical systems based on dependency graphs have played an important role in the...
A simulation is collection of agents that, according to some schedule, are making decisions based on...
It is beyond dispute that to find ways to apply ideas from Mathematics to Computation is a compellin...
AbstractSequential dynamical systems have been developed as a basis for a theory of computer simulat...
In this paper we study the evolution of sequential dynamical systems (SDS) asaresult of the erroneou...
This book provides an introduction to the analysis of discrete dynamical systems. The content is pre...
The generic structure of computer simulations motivates a new class of discrete dynamical systems th...
AbstractWe study a class of discrete dynamical systems that consists of the following data: (a) a fi...
AbstractWe study a class of discrete dynamical systems that consists of the following data: (a) a fi...
AbstractWe study a class of discrete dynamical systems that consist of the following data: (a) a fin...
Sequential dynamical systems have the property, that the updates of states of individual cells occur...
In discrete processes, as computational or genetic ones, there are many entities and each entity has...
A class of finite discrete dynamical systems, called Sequential Dynamical Systems (SDSs), was introd...
AbstractSequential dynamical systems have the property, that the updates of states of individual cel...
We study counting various types of configurations in certain classes of graph automata viewed as dis...
Abstract. Discrete dynamical systems based on dependency graphs have played an important role in the...
A simulation is collection of agents that, according to some schedule, are making decisions based on...
It is beyond dispute that to find ways to apply ideas from Mathematics to Computation is a compellin...
AbstractSequential dynamical systems have been developed as a basis for a theory of computer simulat...
In this paper we study the evolution of sequential dynamical systems (SDS) asaresult of the erroneou...
This book provides an introduction to the analysis of discrete dynamical systems. The content is pre...