A dynamical system approach to human consciousness

Abstract: One of the most challenging big problems at present in Science is to try to understand the human brain. In particular, and from our perspective, if whether it is possible or not to obtain mathematical models which can describe at least part of its behavior, in particular related to consciuous experiences. This topic is a new and prospective research field. The area concerns the so called IIT – Integrated Information Theory – for human consciousness. This theory, at the frontiers of Neuroscience, Mathematics, Computer Science and Philosophy, created by Giulio Tononi in 2004 is phenomenological – it assumes that the consciousness exists and tries to describe it by defining axioms that it satisfies. Recently, our group has been a leader of the EXPLORA project “Dinámica Fractal de la Consciencia: de la Teoría a la Implementación Clínica” sponsored by the Spanish Ministerio de Economía y Competitividad which consisted in the creation of the time continuous version of the Tononi’s IIT 3.0 theory based on the theory of dynamical systems on graphs and their attractors. This is a really inter and multidisciplinary research, in which mathematicians of different areas, computers scientists, biologists, psychologists, philosophers and neurobiologists from nodes in Spain, Italy, Brasil, Poland and the USA