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Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. Part I: Finite dimensional discretization. Erwan Faou, Benot Grbert, Eric PaturelTo cite this version: Erwan Faou,

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What is Birkhoff normal form?

Birkhoff normal form refers to a specific mathematical representation of certain types of dynamical systems, particularly in the context of Hamiltonian systems, where the dynamics can be expressed in a normal form based on Birkhoff's theorem.

Who is required to file Birkhoff normal form?

Birkhoff normal form is typically used by mathematicians, physicists, or researchers working in the field of dynamical systems, specifically when analyzing the stability of specific systems under transformations.

How to fill out Birkhoff normal form?

Filling out Birkhoff normal form requires identifying the Hamiltonian system in question, computing the relevant normal forms by applying canonical transformations, and then expressing the system in terms of its simplified normal coordinates.

What is the purpose of Birkhoff normal form?

The purpose of Birkhoff normal form is to simplify the study of dynamical systems, enabling the analysis of stability and behavior of these systems in a more tractable format.

What information must be reported on Birkhoff normal form?

Information that must be reported in Birkhoff normal form includes the canonical variables of the system, the coefficients of the normal form, and any specific parameters relevant to the dynamical behavior being analyzed.

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