Rapidly Oscillating Systems on the Plane: Weak Resonances and Asymptotic Control
نویسندگان
چکیده
منابع مشابه
Asymptotic Expansions of Multiple Integrals of Rapidly Oscillating Functions
Expansions of multiple integrals w(aixi,.. .,anxn)g(xi,... ,x„)dxi ■ ■ -dxn, r°i r°n I " Ja\ J a„ where w is a function on R" which is (bk oj,)-periodic in the fcth variable, k = 1,... ,n, and g is smooth, are given in terms of negative powers of the integers o\,.. .,an. Estimates of the remainder term in the expansion are also given. Introduction. Let w be a function with integrable pth power ...
متن کاملRapidly oscillating Ap stars versus non-oscillating Ap stars
The positions in the HR diagram and the kinematic characteristics of rapidly oscillating and non-oscillating chemically peculiar stars are obtained using new Hipparcos proper motions and parallaxes, and our own radial velocity measurements. We find that rapidly oscillating stars, as a group, are (−0.47±0.34) mag above the zero-age main sequence (ZAMS), while the non-oscillating stars are (−1.20...
متن کاملLow Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density
We consider the eigenvalue problem associated to the vibrations of a string with rapidly oscillating periodic density. In a previous paper we stated asymptotic formulas for the eigenvalues and eigenfunctions when the size of the microstructure is shorter than the wavelength of the eigenfunctions 1/ √ λ . On the other hand, it has been observed that when the size of the microstructure is of the ...
متن کاملAsymptotic Expansions with Oscillating CoeÆcients
In recent years, Computer Algebra has seen signi cant advances on a wide range of fronts. One of the many areas of development has been Symbolic Asymptotics. The exp{log functions are those de ned by expressions built from the rational numbers Q and the variable, x, using arithmetic operations and the functions exp and log, with the understanding that the latter is only applied to arguments whi...
متن کاملApplication of the linear Differential Equations on the Plane and Elements of Nonlinear Systems, In Economics
In recent years, it has become increasingly important to incorporate explicit dynamics in economic analysis. These two tools that mathematicians have developed, differential equations and optimal control theory, are probably the most basic for economists to analyze dynamic problems. In this paper I will consider the linear differential equations on the plane (phase diagram) and elements of nonl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2020
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2020.12.1631