ACM Transactions on Programming Languages and Systems (TOPLAS)
A unifying framework for distributed simulation
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on parallel and distributed systems performance
Elements of a theory of computer simulation I: sequential CA over random graphs
Applied Mathematics and Computation
Elements of a theory of simulation II: sequential dynamical systems
Applied Mathematics and Computation
Discrete, sequential dynamical systems
Discrete Mathematics
Discrete dynamical systems on graphs and boolean functions
Mathematics and Computers in Simulation
An Introduction to Sequential Dynamical Systems
An Introduction to Sequential Dynamical Systems
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In this paper, we extend the manner of defining the evolution update of discrete dynamical systems on Boolean functions, without limiting the local functions to being dependent restrictions of a global one. Then, we analyze the cases concerned with parallel dynamical systems with the OR, AND, NAND and NOR functions as independent local functions over undirected and also directed dependency graphs. This extension of the update method widely generalizes the traditional one where only a global Boolean function is considered for establishing the evolution operator of the system. Besides, our analysis allows us to show a richer dynamics in these new kinds of parallel dynamical systems.