34 citations · 121 across the 14 of their papers we have counts for
5 papers · 1 filter
Injective and pseudo-injective polynomial equations: From permutations to dynamical systems
Antonio E. Porreca, Marius Rolland
We study the computational complexity of decomposing finite discrete dynamical systems (FDDSs) in terms of the semiring operations of alternative and synchronous execution, which i…
Solving "pseudo-injective" polynomial equations over finite dynamical systems
Antonio E. Porreca, Marius Rolland
We consider the semiring of abstract finite dynamical systems up to isomorphism, with the operations of alternative and synchronous execution. We continue searching for efficient a…
Injectivity of polynomials over finite discrete dynamical systems
Antonio E. Porreca, Marius Rolland
The analysis of observable phenomena (for instance, in biology or physics) allows the detection of dynamical behaviors and, conversely, starting from a desired behavior allows the…
Roots in the semiring of finite deterministic dynamical systems
François Doré, Kévin Perrot, Antonio E. Porreca +2
Finite discrete-time dynamical systems (FDDS) model phenomena that evolve deterministically in discrete time. It is possible to define sum and product operations on these systems (…
Profiles of dynamical systems and their algebra
Caroline Gaze-Maillot, Antonio E. Porreca
The commutative semiring of finite, discrete-time dynamical systems was introduced in order to study their (de)composition from an algebraic point of view. However, ma…