Abstract
We study -minimal configurations in Aubry-Mather theory, where belongs to a complete metric space of functions. Such minimal configurations have definite rotation number. We establish the existence of a set of functions, which is a countable intersection of open everywhere dense subsets of the space and such that for each element of this set and each rational number , the following properties hold: (i) there exist three different -minimal configurations with rotation number ; (ii) any -minimal configuration with rotation number is a translation of one of these configurations.
Citation
Alexander J. Zaslavski. "Generic uniqueness of minimal configurations with rational rotation numbers in Aubry-Mather theory." Abstr. Appl. Anal. 2004 (8) 691 - 721, 10 August 2004. https://doi.org/10.1155/S1085337504310067
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