Abstract
This special issue collects contributions from the participants of the “Information in Dynamical Systems and Complex Systems” workshop, which cover a wide range of important problems and new approaches that lie in the intersection of information theory and dynamical systems. The contributions include theoretical characterization and understanding of the different types of information flow and causality in general stochastic processes, inference and identification of coupling structure and parameters of system dynamics, rigorous coarse-grain modeling of network dynamical systems, and exact statistical testing of fundamental information-theoretic quantities such as the mutual information. The collective efforts reported here in reflect a modern perspective of the intimate connection between dynamical systems and information flow, leading to the promise of better understanding and modeling of natural complex systems and better/optimal design of engineering systems.
Highlights
From 18–19 July 2013, a workshop was held, entitled, “Information in Dynamical Systems and Complex Systems Summer 2013 Workshop” in Burlington, VT, USA, with Organizers: Erik M
In particular transfer entropy has gained a great deal of interest in recent years as future states may be conditioned on past states both with and without access to other stochastic processes as a test through Kullback–Leibler divergence, but recent work suggests that there are possible misinterpretations from the use of transfer entropy for causality inference
Since physical laws lead to evolution equations, which from the perspective of this discussion defines evolution from some information state to a new information state, it can be said that physical laws may be described either as algorithms or information filters that translate states. To this end the papers in this special issue we summarize and as we see they point clearly at these key problems
Summary
From 18–19 July 2013, a workshop was held, entitled, “Information in Dynamical Systems and Complex Systems Summer 2013 Workshop” in Burlington, VT, USA, with Organizers: Erik M. Given the modern focus of dynamical systems on coupled oscillators that form complex networks, it is important to move forward and explore these problems from the perspective of information content, flow and causality.
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