scholarly journals Accurate strategies for small divisor problems

1990 ◽  
Vol 22 (1) ◽  
pp. 85-91 ◽  
Author(s):  
R. de la Llave ◽  
David Rana
Keyword(s):  
Small Divisor ◽  
Divisor Problems

scholarly journals Differentiation of composities with respect to a parameter

1975 ◽  
Vol 19 (1) ◽  
pp. 121-128 ◽  
Author(s):  
Alistair Gray
Keyword(s):  
Celestial Mechanics ◽  
Function Spaces ◽  
Free Form ◽  
Small Divisor ◽  
Divisor Problems ◽  
Image Position

A formula is established for differentiating the composite F(ξ)○G(ξ) with respect to the parameter ξ where F and G are maps which assumetheir values in function spaces. This composite is denoted by . Use of this notation, together with the tangent functor T, enables the formula to be written in the variable-free form where π1 is a projection map and TF(ξ) = T(F(ξ)). Formal verificationof this formula is straightforward. It has application to many small divisor problems such as those which occur in celestial mechanics.

scholarly journals Compensations in small divisor problems

1996 ◽  
Vol 175 (1) ◽  
pp. 135-160 ◽  
Author(s):  
L. Chierchia ◽  
C. Falcolini
Keyword(s):  
Small Divisor ◽  
Divisor Problems
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