Structure and convergence of Poincare-like normal forms

Details Structure and convergence of Poincare-like normal forms Structure and convergence of Poincare-like normal forms

1997-06-03

arxiv.org/abs/chao-dyn/9706003v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, no figures, latex. To be published in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00469-6

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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