Mestel, B. D. and Osbaldestin, A. H.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1063/1.1797532|
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We provide a rigorous analysis of the fluctuations of localized eigenstates in a generalized Harper equation with golden mean flux and with next-nearest-neighbor interactions. For next-nearest-neighbor interaction above a critical threshold, these self-similar fluctuations are characterized by orbits of a renormalization operator on a universal strange attractor, whose projection was dubbed the "orchid" by Ketoja and Satija [Phys. Rev. Lett. 75, 2762 (1995)]. We show that the attractor is given essentially by an embedding of a subshift of finite type, and give a description of its periodic orbits.
|Item Type:||Journal Article|
|Copyright Holders:||2004 American Institute of Physics|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Benjamin Mestel|
|Date Deposited:||01 Oct 2007|
|Last Modified:||14 Jan 2016 16:45|
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