KAM theory for quasi-periodic equilibria in 1D quasi-periodic media: II. Long-range interactions
نویسندگان
چکیده
منابع مشابه
Kam Theory for Quasi-periodic Equilibria in 1d Quasiperiodic Media–ii: Long-range Interactions
We consider Frenkel-Kontorova models corresponding to 1 dimensional quasi-crystal with non-nearest neighbor interactions. We formulate and prove a KAM type theorem which establishes the existence of quasi-periodic solutions. The interactions we consider do not need to be of finite range but do have to decay sufficiently fast with respect to the distance of the position of the atoms. The KAM the...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2012
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/45/45/455203