Informational structures: A dynamical system approach for integrated information.
PLoS Computational Biology September 1, 2018 Francisco J. Esteban, Javier A. Galadí, José A. Langa et al.
Integrated Information Theory (IIT) offers a mathematical framework for consciousness, identifying conscious experience with a conceptual structure that is composed of parts, informative, integrated, and maximally irreducible. This paper extends IIT by introducing a space-time continuous version of integrated information. Using graph and dynamical systems approaches, it defines an Informational Structure for a mechanism in a given state, associated with the system's global attractor over time. This structure determines all past and future behavior, enriches phase space points with cause-effect power via an Informational Field, and allows a measure of integrated information through invariants and transition probability matrices.