DYNAMICAL LOCALIZATION FOR NONPERIODIC SYSTEMS

We consider two nonlinear kicked systems modulated according to sequen ces with different degrees of randomness: periodic, Fibonacci, Thue-Mo rse, Rudin-Shapiro and random. We have numerically found dynamical loc alization in the Fibonacci case for the two considered models and in t he Thue-Morse case for just one of the models. We have also found exam ples of ballistic delocalization in the Fibonacci and Thue-Morse cases . The dynamical behaviors generated from Rudin-Shapiro and random sequ ences were found to be essentially equivalent.