Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the geometrical and topological constraints in the phase space. This allows one to characterize all the past and future dynamical scenarios for a system in any particular state. In this paper, we develop further steps in this direction, describing a proper continuous framework for an abstract formulation, which could serve as a prototype of the IIT postulates.
keywords in English:
dynamical system, integrated information theory, global attractors, Lotka-Volterra equations, informational structure, informational field
affiliation:
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej