On Intervals, Sensitivity Implies Chaos
In this note we investigate which properties can be derived for a continuous function f defined on an interval I if the only a priori given information is its sensitive dependence on initial conditions. Our main result is the following: If f is sensitive, then f is chaotic, in the sense of Devaney, o...
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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
2003-10-01
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| Series: | Revista Integración |
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| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/530 |