Alpern, Steven and Prasad, V. S.
(1999)
*Chaotic homeomorphisms of RN, lifted from torus homeomorphisms.*
Bulletin of the London Mathematical Society, 31 (5).
pp. 577-580.
ISSN 0024-6093

Identification Number: 10.1112/S002460939800561X

## Abstract

We establish the existence of self-homeomorphisms of Rn, n ≥ 2, which are chaotic in the sense of Devaney, preserve volume and are spatially periodic. Moreover, we show that in the space of volume-preserving homeomorphisms of the n-torus with mean rotation zero, those with chaotic lifts to Rn are dense, with respect to the uniform topology. An application is given for fixed points of 2-dimensional torus homeomorphisms (Conley–Zehnder–Franks Theorem). 1991 Mathematics Subject Classification 54H20.

Item Type: | Article |
---|---|

Official URL: | http://blms.oxfordjournals.org/ |

Additional Information: | © 1999 London Mathematical Society |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 13 Feb 2010 12:10 |

Last Modified: | 20 Oct 2021 01:34 |

URI: | http://eprints.lse.ac.uk/id/eprint/7635 |

### Actions (login required)

View Item |