Normal form theory and spectral sequences

J.A. Sanders

doi:10.1016/S0022-0396(03)00038-X

Normal form theory and spectral sequences

J.A. Sanders

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

The concept of unique normal form is formulated in terms of a spectral sequence. As an illustration of this technique some results of Baider and Churchill concerning the normal form of the anharmonic oscillator are reproduced. The aim of this paper is to show that spectral sequences give us a natural framework in which to formulate normal form theory. © 2003 Elsevier Science (USA). All rights reserved.

Original language	English
Pages (from-to)	536-552
Journal	Journal of Differential Equations
Volume	192
Issue number	2
DOIs	https://doi.org/10.1016/S0022-0396(03)00038-X
Publication status	Published - 2003

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MR1990851

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This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/S0022-0396(03)00038-X

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title = "Normal form theory and spectral sequences",

abstract = "The concept of unique normal form is formulated in terms of a spectral sequence. As an illustration of this technique some results of Baider and Churchill concerning the normal form of the anharmonic oscillator are reproduced. The aim of this paper is to show that spectral sequences give us a natural framework in which to formulate normal form theory. {\textcopyright} 2003 Elsevier Science (USA). All rights reserved.",

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AB - The concept of unique normal form is formulated in terms of a spectral sequence. As an illustration of this technique some results of Baider and Churchill concerning the normal form of the anharmonic oscillator are reproduced. The aim of this paper is to show that spectral sequences give us a natural framework in which to formulate normal form theory. © 2003 Elsevier Science (USA). All rights reserved.

U2 - 10.1016/S0022-0396(03)00038-X

DO - 10.1016/S0022-0396(03)00038-X

M3 - Article

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VL - 192

SP - 536

EP - 552

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Normal form theory and spectral sequences

Abstract

Bibliographical note

UN SDGs

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