Mestel, B. D. and Osbaldestin, A. H.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1063/1.1797532|
|Google Scholar:||Look up in Google Scholar|
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:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Benjamin Mestel|
|Date Deposited:||01 Oct 2007|
|Last Modified:||02 Aug 2016 13:11|
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