About 258,000 results
|To the concept of a recurrent trajectory (see § 4) there corresponds the obvious |
concept of a recurrent function. Let A" be a ... The latter definition is as follows: A
continuous function / is called conditionally periodic with periods 2tr/\i, 27r/A2, .
|CONDITIONAL STABILITY (referred to in: Stability theory) (refers to: Cauchy |
operator, Finsler geometry; Lyapunov ... to in: Conditionally-periodic motion) (
refers to: almost-periodic function, quasi-periodic function) Conditionally-periodic
|As an example of a conditionally-complete lattice one may take the set of all real |
numbers with the usual order. T.S. Fofanova AMS 1980 Subject Classification:
06B05 CONDITIONALLY-PERIODIC FUNCTION - A function Aoq, which is the ...
Michiel Hazewinkel - 1994 - Preview
|T.S. Fofanova AMS 1980 Subject Classification: 06B05 CONDITIONALLY-|
PERIODIC FUNCTION - A function A°<(> which is the composition of a 2vr-
periodic function A : T"—>C, where T" is the n-dimensional torus, and a function <
J>:R— >R" ...
|It was assumed everywhere above that we have dealt exclusively with periodic |
functions represented as the Fourier series. ... functions to the “conditionally
periodic” functions does not have any other substantiation, except for only
|Te reduce this problem to the analogous problem for Fourier series. We shall call |
a function <i(A), given on the real axis, conditionally periodic (with parameter t) if
>f(\+l) = e-"<f(\). (1) For t - 0, conditionally periodic functions become ordinary ...
|We shall prove in §§ 4, 5 that such a function again represents a conditionally |
periodic system. This we can choose as the second intermediate motion, putting
similarly to (8) (8') H = H2(u, w) + R2(u, w), and denoting by R2 the remaining
|Preliminary results from Mathematics I. What is conditionally periodic action? Let |
us consider the surface of a ... Closely connected with conditionally periodic
motions are conditionally periodic functions. If F(qlt g2) is a function on the torus ...
|_ (89) This multiple Fourier series no longer represents a periodic function of the |
time. ... A simple example of a conditionally periodic system is a particle
performing harmonic vibrations along the x- and y-axes, the two vibrations having
|4 Periodic and conditionally-periodic solutions 4.1 Convergence of the |
normalizing transformation The problem of the ... It was proved that the
convergence exists if the normal form of the Hamiltonian function (1.76) obeys
the H -condition and ...