Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices

Baake M, Neumärker N (2012)
Discrete and continuous dynamical systems A 33(2): 527-553.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
OA
Autor*in
Baake, Michael; Neumärker, Natascha
Abstract / Bemerkung
We study various aspects of the dynamics induced by integer matrices on the invariant rational lattices of the torus in dimension [2] and greater. Firstly, we investigate the orbit structure when the toral endomorphism is not invertible on the lattice, characterising the pretails of eventually periodic orbits. Next we study the nature of the symmetries and reversing symmetries of toral automorphisms on a given lattice, which has particular relevance to (quantum) cat maps.
Erscheinungsjahr
2012
Zeitschriftentitel
Discrete and continuous dynamical systems A
Band
33
Ausgabe
2
Seite(n)
527-553
ISSN
1078-0947
Page URI
https://pub.uni-bielefeld.de/record/2528266

Zitieren

Baake M, Neumärker N. Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A. 2012;33(2):527-553.
Baake, M., & Neumärker, N. (2012). Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A, 33(2), 527-553. doi:10.3934/dcds.2013.33.527
Baake, M., and Neumärker, N. (2012). Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A 33, 527-553.
Baake, M., & Neumärker, N., 2012. Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A, 33(2), p 527-553.
M. Baake and N. Neumärker, “Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices”, Discrete and continuous dynamical systems A, vol. 33, 2012, pp. 527-553.
Baake, M., Neumärker, N.: Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A. 33, 527-553 (2012).
Baake, Michael, and Neumärker, Natascha. “Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices”. Discrete and continuous dynamical systems A 33.2 (2012): 527-553.
Alle Dateien verfügbar unter der/den folgenden Lizenz(en):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Volltext(e)
Access Level
OA Open Access
Zuletzt Hochgeladen
2019-09-06T09:18:06Z
MD5 Prüfsumme
55c582936fe61644ab6317b6e9421132

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Quellen

arXiv: 1205.1003

Suchen in

Google Scholar