Laser Dynamics from a Membrane Computing Perspective

Abstract

Modelling real systems and processes is a task classically performed through the approach of di erential equation systems, de ning the evolution of di erent variables as the di erent components of the system. A bad feature that di erential equations have is that if some new parameter has to be introduced in the system, then often the previous equations are not useful, and the whole system has to be remodeled again. Bioinspired computational models are abstractions of reality into a mathematical system that works with speci c semantics and can perform some tasks, such as solving problems or demonstrating the universality of themselves or other models. An interesting application of these models is the modelling of real-life processes, where some of them as the so-called P systems have demonstrated previously that their performance is remarkable. This is not only for the similarity of the results with the experimental ones, but for its adaptability and modularity of the system, that is, if a new component of the real system is taken into account, not the whole system but a small part of it has to be changed in order to simulate the changed scenario. In this work, a rst look at the dynamics of a laser physical system is given, reproducing the behavior of a rst model with a PDP system.