TY  - JOUR
AB  - 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.
DA  - 2012
DO  - 10.3934/dcds.2013.33.527
LA  - eng
IS  - 2
M2  - 527
PY  - 2012
SN  - 1078-0947
SP  - 527-553
T2  - Discrete and continuous dynamical systems A
TI  - Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-25282661
Y2  - 2024-11-22T03:11:24
ER  -