2012/06/20 by Serban E. Vlad, Vlad, Serban E.
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Quantum chaos and dynamical systems #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1206.4710
The Boolean autonomous dynamical systems, also called regular autonomous asynchronous systems are systems whose 'vector field' is a function Φ:0,1n→0,1n and time is discrete or continuous. While the synchronous systems have their coordinate functions Φ1,...,Φn computed at the same time: Φ,Φ∘Φ,Φ∘Φ∘Φ,... the asynchronous systems have Φ1,...,Φn computed independently on each other. The purpose of the paper is that of studying the basins of attraction of the fixed points, of the orbits and of the ω-limit sets of the regular autonomous asynchronous systems. The bibliography consists in analogies.