title: Nonlinear dynamics as an engine of computation.
abstract: Control of chaos teaches that control theory can tame the complex, random-like behaviour of chaotic systems. This alliance between control methods and physics-cybernetical physics-opens the door to many applications, including dynamics-based computing. In this article, we introduce nonlinear dynamics and its rich, sometimes chaotic behaviour as an engine of computation. We review our work that has demonstrated how to compute using nonlinear dynamics. Furthermore, we investigate the interrelationship between invariant measures of a dynamical system and its computing power to strengthen the bridge between physics and computation.This article is part of the themed issue 'Horizons of cybernetical physics'.
authors.affiliation: Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USA bkia@ncsu.edu.
authors.forename: Behnam
authors.identifier: http://orcid.org/0000-0003-2547-2963
authors.initials: B
authors.lastname: Kia
authors.affiliation: Department of Physics, The College of Wooster, Wooster, OH 44691, USA.
authors.forename: John F
authors.initials: JF
authors.lastname: Lindner
authors.affiliation: Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USA.
authors.forename: William L
authors.initials: WL
authors.lastname: Ditto
keywords: computation; cybernetical physics; nonlinear dynamics