Unique normal form of Bogdanov-Takens singularities

Duo Wang; Jing Li; Minhai Huang; Young Jiang

doi:10.1006/jdeq.1999.3739

Unique normal form of Bogdanov-Takens singularities

Duo Wang^*
, Jing Li
, Minhai Huang
, Young Jiang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

In this note the method introduced by Kokubu, Oka, and Wang is improved and the unsolved problem in a paper of Baider and Sanders for the unique normal form of Bogdanov-Takens singularities is solved under a very general condition.

Original language	English
Pages (from-to)	223-238
Number of pages	16
Journal	Journal of Differential Equations
Volume	163
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1999.3739
Publication status	Published - 10 Apr 2000
Externally published	Yes

Keywords

Bogdanov-Takens singularity
Grading function
Normal form

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10.1006/jdeq.1999.3739

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title = "Unique normal form of Bogdanov-Takens singularities",

abstract = "In this note the method introduced by Kokubu, Oka, and Wang is improved and the unsolved problem in a paper of Baider and Sanders for the unique normal form of Bogdanov-Takens singularities is solved under a very general condition.",

keywords = "Bogdanov-Takens singularity, Grading function, Normal form",

author = "Duo Wang and Jing Li and Minhai Huang and Young Jiang",

note = "Funding Information: 1Research is supported by NNSF 19531070, 69774011 of China and NSF of Beijing. 2Research was supported by NSF of Beijing.",

year = "2000",

month = apr,

day = "10",

doi = "10.1006/jdeq.1999.3739",

language = "English",

volume = "163",

pages = "223--238",

journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - Unique normal form of Bogdanov-Takens singularities

AU - Wang, Duo

AU - Li, Jing

AU - Huang, Minhai

AU - Jiang, Young

N1 - Funding Information: 1Research is supported by NNSF 19531070, 69774011 of China and NSF of Beijing. 2Research was supported by NSF of Beijing.

PY - 2000/4/10

Y1 - 2000/4/10

N2 - In this note the method introduced by Kokubu, Oka, and Wang is improved and the unsolved problem in a paper of Baider and Sanders for the unique normal form of Bogdanov-Takens singularities is solved under a very general condition.

AB - In this note the method introduced by Kokubu, Oka, and Wang is improved and the unsolved problem in a paper of Baider and Sanders for the unique normal form of Bogdanov-Takens singularities is solved under a very general condition.

KW - Bogdanov-Takens singularity

KW - Grading function

KW - Normal form

UR - https://www.scopus.com/pages/publications/0034629652

U2 - 10.1006/jdeq.1999.3739

DO - 10.1006/jdeq.1999.3739

M3 - Article

AN - SCOPUS:0034629652

SN - 0022-0396

VL - 163

SP - 223

EP - 238

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Unique normal form of Bogdanov-Takens singularities

Abstract

Keywords

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