Complicated dynamics from simple topological hypotheses
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.Full text not available from this repository.
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)|
|Journal or Publication Title:||PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES|
|Publisher:||ROYAL SOC LONDON|
|Date:||15 July 2001|
|Number of Pages:||18|
|Page Range:||pp. 1479-1496|
|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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