Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5

Xiaofeng Wang; Yun Tang; Duo Wang

Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5

Xiaofeng Wang^*, Yun Tang, Duo Wang

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.

Original language	English
Pages (from-to)	391-400
Number of pages	10
Journal	Chinese Annals of Mathematics. Series B
Volume	19
Issue number	4
Publication status	Published - 1998
Externally published	Yes

Keywords

Normal form
O(n)-equivariant bifurcation
Recognition problem
Universal unfolding

Cite this

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title = "Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5",

abstract = "Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.",

keywords = "Normal form, O(n)-equivariant bifurcation, Recognition problem, Universal unfolding",

author = "Xiaofeng Wang and Yun Tang and Duo Wang",

year = "1998",

language = "English",

volume = "19",

pages = "391--400",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

number = "4",

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TY - JOUR

T1 - Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5

AU - Wang, Xiaofeng

AU - Tang, Yun

AU - Wang, Duo

PY - 1998

Y1 - 1998

N2 - Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.

AB - Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.

KW - Normal form

KW - O(n)-equivariant bifurcation

KW - Recognition problem

KW - Universal unfolding

UR - https://www.scopus.com/pages/publications/25444474408

M3 - Article

AN - SCOPUS:25444474408

SN - 0252-9599

VL - 19

SP - 391

EP - 400

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 4

ER -

Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5

Abstract

Keywords

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Cite this