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
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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, Michael, and Neumärker, Natascha. 2012. “Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices”. Discrete and continuous dynamical systems A 33 (2): 527-553.
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.
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