Poincaré normal and renormalized forms
نویسنده
چکیده
Normal forms were introduced by Poincaré as a tool to integrate nonlinear systems; by now we know this is in general impossible, but it turned out that the usefulness of normal forms goes well beyond integrability. An introduction to normal forms is provided e.g. in [3, 5, 26, 41, 43, 47, 63]; see also [10, 33]. An introduction to normal forms for Hamiltonian systems is given in appendix 7 of [4]. Their use is, beyond integrability issues, of three kinds:
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