title: Irrational mode locking in quasiperiodic systems.
abstract: A model for ac-driven systems, based on the Tang-Wiesenfeld-Bak-Coppersmith-Littlewood automaton for an elastic medium, exhibits mode-locked steps with frequencies that are irrational multiples of the drive frequency, when the pinning is spatially quasiperiodic. Detailed numerical evidence is presented for the large-system-size convergence of such a mode-locked step. The irrational mode locking is stable to small thermal noise and weak disorder. Continuous-time models with irrational mode locking and possible experimental realizations are discussed.
authors.affiliation: Department of Physics, Syracuse University, Syracuse, New York 13244, USA.
authors.forename: Creighton K
authors.initials: CK
authors.lastname: Thomas
authors.forename: A Alan
authors.initials: AA
authors.lastname: Middleton