Structure and convergence of Poincare-like normal forms
S. Louies, L. Brenig
Abstract
The general term of the Poincare normalizing series is explicitly constructed for non-resonant systems of ODE's in a large class of equations. In the resonant case, a non-local transformation is found, which exactly linearizes the ODE's and whose series expansion always converges in a finite domain. Examples are treated.
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