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Curves of fixed points of trace maps
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Humphries, Stephen and Manning, Anthony (2007) Curves of fixed points of trace maps. Ergodic Theory and Dynamical Systems, Vol.27 (No.4). pp. 1167-1198. doi:10.1017/S0143385707000016 ISSN 0143-3857.
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Official URL: http://dx.doi.org/10.1017/S0143385707000016
Abstract
We study curves of fixed points for certain diffeomorphisms of ${\mathbb{R}}^3$ that are induced by automorphisms of a trace algebra. We classify these curves. There is a function $E$ which is invariant under all such trace maps and the level surfaces $E_t: E=t$ are invariant; a point of $E_t$ will be said to have level $t$. The surface $E_1$ is significant. Then most fixed points on $E_1$ are actually on a curve $\gamma$ of fixed points interior to $E_1$. We describe the possibilities for the other end of $\gamma$ on $E_1$.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Invariants, Dynamics, Diffeomorphisms | ||||
Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0143-3857 | ||||
Official Date: | 22 June 2007 | ||||
Dates: |
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Volume: | Vol.27 | ||||
Number: | No.4 | ||||
Page Range: | pp. 1167-1198 | ||||
DOI: | 10.1017/S0143385707000016 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
Data sourced from Thomson Reuters' Web of Knowledge
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