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Complicated dynamics from simple topological hypotheses
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UNSPECIFIED (2001) Complicated dynamics from simple topological hypotheses. In: Meeting on Topological Methods in the Physical Sciences, ENGLAND, NOV 15-16, 2000. Published in: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 359 (1784). pp. 1479-1496. ISSN 1364-503X.
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Abstract
There are many types of dynamical system for which quite simple topological hy potheses imply very complicated behaviour. A well-known example is 'period 3 implies chaos' for continuous maps of an interval. A diverse range of more sophisticated examples has been produced by; many researchers and is reviewed here. The relevance to physical applications - like mixing in fluid flows. chaotic motion of mechanical linkages, and fast dynamos - is explored.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science | ||||
Journal or Publication Title: | PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ||||
Publisher: | ROYAL SOC LONDON | ||||
ISSN: | 1364-503X | ||||
Official Date: | 15 July 2001 | ||||
Dates: |
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Volume: | 359 | ||||
Number: | 1784 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 1479-1496 | ||||
Publication Status: | Published | ||||
Title of Event: | Meeting on Topological Methods in the Physical Sciences | ||||
Location of Event: | ENGLAND | ||||
Date(s) of Event: | NOV 15-16, 2000 |
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