Kia Behnam, Lindner John F, Ditto William L
Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USA
Department of Physics, The College of Wooster, Wooster, OH 44691, USA.
Philos Trans A Math Phys Eng Sci. 2017 Mar 6;375(2088). doi: 10.1098/rsta.2016.0222.
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'.
混沌控制表明控制理论能够驾驭混沌系统复杂的、类似随机的行为。控制方法与物理学（控制论物理学）之间的这种结合为包括基于动力学的计算在内的诸多应用打开了大门。在本文中，我们将非线性动力学及其丰富的、有时呈现混沌的行为作为一种计算引擎来介绍。我们回顾了已证明如何利用非线性动力学进行计算的工作。此外，我们研究了动力系统的不变测度与其计算能力之间的相互关系，以加强物理学与计算之间的桥梁。本文是“控制论物理学的视野”主题特刊的一部分。
