Structure and convergence of Poincare-like normal forms

S. Louies; L. Brenig

doi:10.1016/s0375-9601(97)00469-6

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arXiv · chao-dyn/9706003

Structure and convergence of Poincare-like normal forms

S. Louies·L. Brenig

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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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S. Louies, L. Brenig. 1997-06-03. Structure and convergence of Poincare-like normal forms. https://doi.org/10.1016/s0375-9601(97)00469-6

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