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Quasiperiodically forced damped pendula and Schroedinger equations with quasiperiodic potentials - Implications of their equivalenceCertain first-order nonlinear ordinary differential equations exemplified by strongly damped, quasiperiodically driven pendula and Josephson junctions are isomorphic to Schroedinger equations with quasiperiodic potentials. The implications of this equivalence are discussed. In particular, it is shown that the transition to Anderson localization in the Schroedinger problem corresponds to the occurrence of a novel type of strange attractor in the pendulum problem. This transition should be experimentally observable in the frequency spectrum of the pendulum of Josephson junction.
Document ID
19860031249
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bondeson, A.
(California Univ. Santa Barbara, CA, United States)
Ott, E.
(California Univ. Santa Barbara, CA, United States)
Antonsen, T. M., Jr.
(California, University Santa Barbara, United States)
Date Acquired
August 12, 2013
Publication Date
November 11, 1985
Publication Information
Publication: Physical Review Letters
Volume: 55
ISSN: 0031-9007
Subject Category
Physics (General)
Accession Number
86A15987
Funding Number(s)
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other

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