منابع مشابه
A characterization of eventual periodicity
In this article, we show that the Kamae-Xue complexity function for an infinite sequence classifies eventual periodicity completely. We prove that an infinite binary word x1x2 · · · is eventually periodic if and only if Σ(x1x2 · · ·xn)/n3 has a positive limit, where Σ(x1x2 · · ·xn) is the sum of the squares of all the numbers of appearance of finite words in x1x2 · · ·xn, which was introduced b...
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The initialand boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual periodicity) of its solutions corresponding to periodic boundary condition or periodic forcing. To this aim, we derive a new formula representing solutions of this initialand boundary-value problem by inverting the operat...
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Studied here is the large-time behavior and eventual periodicity of solutions of initial-boundary-value problems for the BBM equation and the KdV equation, with and without a Burgers-type dissipation appended. It is shown that the total energy of a solution of these problems grows at an algebraic rate which is in fact sharp for solutions of the associated linear equations. We also establish tha...
متن کاملA characterization of periodicity of bi-infinite words
A finite word is called bordered if it has a proper prefix which is also a suffix of that word. Costa proves in (Theoret. Comput. Sci., 290(3):2053–2061, 2003) that a bi-infinite word w is of the form fgf, for some finite words f and g, if, and only if, there is a factorization w = suv, with u ∈ A such that every factor suv, with s 4 s and v ≤ v, is bordered. We present a shorter proof of that ...
متن کاملCylindrical Shell Buckling: a Characterization of Localization and Periodicity
A hypothesis for the prediction of the circumferential wavenumber of buckling of the thin axially-compressed cylindrical shell is presented, based on the addition of a length effect to the classical (Koiter circle) critical load result. Checks against physical and numerical experiments, both by direct comparison of wavenumbers and via a scaling law, provide strong evidence that the hypothesis i...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2015
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2015.02.039