In discrete processes, as computational or genetic ones, there are many entities and each
entity has a state at a given time. The update of states of the entities constitutes an evolution …

In this work we introduce a wide generalization of dynamical systems over graphs, by
considering that the states of the entities can take values in an arbitrary Boolean algebra …

For parallel dynamical systems over undirected graphs with a Boolean maxterm or minterm
functions as global evolution operators, it is known that every periodic orbit has period less …

In this paper we complete and generalize some previous results concerning the computing
of the sequential and parallel convergent time for two discrete dynamical system of signed …

In this work, we give a solution to the predecessors problems for synchronous systems over
directed graphs, so extending the results given for systems over undirected graphs. In this …

It is well known that periodic orbits with any period can appear in sequential dynamical
systems over undirected graphs with a Boolean maxterm or minterm function as global …

In this work, we solve the problem of the coexistence of periodic orbits in homogeneous
Boolean graph dynamical systems that are induced by a maxterm or a minterm (Boolean) …

In this paper, we study the dynamics of synchronous Boolean networks and extend
previously obtained results for binary Boolean networks to networks with state variables in a …

In 1973 Brylawski introduced and studied in detail the dominance partial order on the set
Par (m) of all integer partitions of a fixed positive integer m. As it is well known, the …

In this work, we solve the fixed-point existence, coexistence and uniqueness problems in the
context of homogeneous parallel and sequential dynamical systems on maxterm and …