Kalita Piotr, Langa José A, Soler-Toscano Fernando
Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland.
Department of Differential Equations and Numerical Analysis, Faculty of Mathematics, University of Seville, 41080 Seville, Spain.
Entropy (Basel). 2019 May 14;21(5):493. doi: 10.3390/e21050493.
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.
信息结构(IS)和信息场(IF)最近被引入,用于处理基于连续动力系统的整合信息理论(IIT)方法。IS和IF包含相空间中的所有几何和拓扑约束。这使得人们能够刻画处于任何特定状态的系统的所有过去和未来的动力学情形。在本文中,我们朝着这个方向进一步发展,描述了一个用于抽象表述的恰当的连续框架,它可以作为IIT假设的一个原型。