On the average principle for one-frequency systems
نویسندگان
چکیده
منابع مشابه
On the average principle for one-frequency systems II. Seminorm estimates for the error
We extend some previous results of ours [1] on the error of the averaging method, in the one-frequency case. The new error estimates apply to any separating family of seminorms on the space of the actions; they generalize our previous estimates in terms of the Euclidean norm. For example, one can use as a separating family of seminorms the absolute values of the components of the actions: with ...
متن کاملm at h - ph / 0 50 80 67 v 1 3 1 A ug 2 00 5 On the the average principle for one - frequency systems
We consider a perturbed integrable system with one frequency, and the approximate dynamics for the actions given by averaging over the angle. A classical qualitative result states that, for a perturbation of order ε, the error of this approximation is O(ε) on a time scale O(1/ε), for ε → 0. We replace this with a fully quantitative estimate; in certain cases, our approach also gives a reliable ...
متن کاملm at h - ph / 0 50 80 67 v 2 1 S ep 2 00 5 On the the average principle for one - frequency systems
We consider a perturbed integrable system with one frequency, and the approximate dynamics for the actions given by averaging over the angle. The classical theory grants that, for a perturbation of order ε, the error of this approximation is O(ε) on a time scale O(1/ε), for ε → 0. We replace this qualitative statement with a fully quantitative estimate; in certain cases, our approach also gives...
متن کامل0 60 90 38 v 1 1 3 Se p 20 06 On the the average principle for one - frequency systems III . An application to satellite motions
This is a continuation of our previous works [1] [2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited papers a general method (of mixed analytical and numerical type) has been introduced to obtain precise, fully quantitative estimates on the averaging error. Here, this procedure is applied to the motion of a satellite in a polar orbit ar...
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Due to the nature of the geological and mining activities, different input parameters in the grade estimation and mineral resource evaluation are always tainted with uncertainties. It is possible to investigate the uncertainties related to the measurements and parameters of the variogram model using the fuzzy kriging method instead of the kriging method. The fuzzy kriging theory has already bee...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/14/012