Cr. Deoliveira, ON KICKED SYSTEMS MODULATED ALONG THE THUE-MORSE SEQUENCE, Journal of physics. A, mathematical and general, 27(22), 1994, pp. 120000847-120000851
We give necessary conditions for the Fourier transform of the time evo
lution operator of kicked systems, modulated along the Thue-Morse sequ
ence, to present Dirac's delta functions. The case of two-level system
s is analysed in detail and it is found-based on the trace map and num
erical investigations-that generically its time evolution has no quasi
-periodic component.