Characterization of chaos |
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| Authors: | Daniel M. Heffernan P. Jenkins M. Daly B. J. Hawdon J. O'Gorman |
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| Affiliation: | (1) School of Physical Sciences, Dublin City University, Dublin 9, Ireland;(2) School of Theoretical Physics, Dublin Institute of Advanced Studies, Dublin 4, Ireland;(3) Present address: 4 Physikalisches Institut, University of Stuttgart, Stuttgart, Germany;(4) Present address: AT&T Bell Laboratories, Murray Hill, New Jersey |
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| Abstract: | We give a brief introduction to chaos and its characterization. We examine some standard systems in detail from the perspective of chaos and review their properties. Concepts necessary to understand them, such as dimension, are also reviewed. To illustrate the main ideas, we choose three examples which have served as paradigms for the study of chaos in physical systems, namely, the Hénon discrete mapping, the Lorenz system of coupled ordinary differential equations, and the Mackey-Glass infinite-dimensional delay differential equation. |
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