If there exists such that then there exists an open neighborhood of such that there exists a diffeomorphism of class
where is an open subset of such that
for all where is the Jacobian of the diffeomorphism evaluated at and is the first vector of the canonical basis of . More generally if the vector field is of class then so is the diffeomorphism . [AVI]
- AVI Arnold, V.I.: Ordinary Differential Equations (translated by R.A. Silverman). The MIT Press, Cambridge, 1973.
|Date of creation||2013-03-22 14:57:15|
|Last modified on||2013-03-22 14:57:15|
|Last modified by||Daume (40)|