 About 258,000 results  books.google.com 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, . 

 books.google.com CONDITIONAL STABILITY (referred to in: Stability theory) (refers to: Cauchy
operator, Finsler geometry; Lyapunov ... to in: Conditionallyperiodic motion) (
refers to: almostperiodic function, quasiperiodic function) Conditionallyperiodic
motion ... 

 books.google.com As an example of a conditionallycomplete lattice one may take the set of all real
numbers with the usual order. T.S. Fofanova AMS 1980 Subject Classification:
06B05 CONDITIONALLYPERIODIC FUNCTION  A function Aoq, which is the ... 

 books.google.com 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 ndimensional torus, and a function <
J>:R— >R" ... 

 books.google.com 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
intuition. 

 books.google.com 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 ... 

 books.google.com 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
part ... 

 books.google.com 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 ... 

 books.google.com _ (89) This multiple Fourier series no longer represents a periodic function of the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 yaxes, the two vibrations having
... 

 books.google.com 4 Periodic and conditionallyperiodic 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 ... 

 