Abstract
Since the development of Anderson localization and the discovery of aluminum alloy quasicrystals, there has been considerable experimental and theoretical interest in wave propagation in random and quasiperiodic systems. More recently, there has been interest in the nonlinear properties of such systems. Having completed some experimental research on the linear behavior of waves in a one‐dimensional random system and a two‐dimensional quasiperiodic system, the nonlinear properties of such systems are now being studied. Two systems, one having a local nonlinear interaction (surface waves in a superfluid film) and the other having a global nonlinear interaction (transverse waves in a stretched string), will be described. [Work supported by NSF DMR 8701682 and the Office of Naval Research.]
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