Correlations of periodic,area-preserving maps |
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Authors: | James D. Meiss John R. Cary Celso Grebogi John D. Crawford Allan N. Kaufman Henry D.I. Abarbanel |
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Affiliation: | Institute for Fusion Studies, University of Texas, Austin, Texas 78712, USA;Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742, USA;Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, USA |
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Abstract: | A simple analytical decay law for correlation functions of periodic, area-preserving maps is obtained. This law is compared with numerical experiments on the standard map. The agreement between experiment and theory is good when islands are absent, but poor when islands are present. When islands are present, the correlations have a long, slowly decaying tail. |
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