Convergence of the Chern–Moser–Beloshapka normal forms
نویسندگان
چکیده
منابع مشابه
On the computation of unique normal forms and quadratic convergence
An algorithm is given which computes the transformation that transforms the initial system to final normalized system to a given order, while reducing the order to which intermediate results need to be computed. The algorithm will convergence quadratically when one is only interested in obtaining the classical normal form and somewhere in between linearly and quadratically in the general case.
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A fruitful technique for the local analysis of a dynamical system consists of using a local change of coordinates to transform the system to a simpler form, which is called a normal form. The qualitative behavior of the original system is equivalent to that of its normal form which may be easier to analyze. A bifurcation of a parameterized dynamics occurs when a change in the parameter leads to...
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Consider a Dynamical system x'=F(x,µ) such that its linear part has a pair of imaginary eigenvalues and one zero eigenvalue (Hopf zero singularity). Recently, the simplest normal form for this singular system has been obtained by sl(2) Lie algebra theory and the decomposition of space into three invariant subspaces. The normal form of this singular system is divided into three general cases. In...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2020
ISSN: 1435-5345,0075-4102
DOI: 10.1515/crelle-2019-0004