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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n +/- a(m), where m = 1, 2, 3, ... and a( m) is an integer-valued function. Exponential type functions a(m) = b(m), where b = 2, 3,..., are discussed. The correspondent pseudodifferential equations of chain oscillations are obtained. Dispersion laws of the suggested chains are described by the Weierstrass and Weierstrass-Mandelbrot functions.