Computation of universal unfolding of the double-zero bifurcation in Z2-symmetric systems by a homological method

Guojun Peng; Yao Lin Jiang

doi:10.1080/10236198.2012.761980

Computation of universal unfolding of the double-zero bifurcation in Z₂-symmetric systems by a homological method

Guojun Peng
, Yao Lin Jiang

数学与统计学院

Guangdong Polytechnic Normal University
Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

We present a homological method and explicit computational formulae for normal form and universal unfolding of the double-zero bifurcation in any autonomous ordinary differential equation system with Z₂-symmetry. We take the Chua's circuit as an example to show advantages of this method.

源语言	英语
页（从-至）	1501-1512
页数	12
期刊	Journal of Difference Equations and Applications
卷	19
期	9
DOI	https://doi.org/10.1080/10236198.2012.761980
出版状态	已出版 - 9月 2013

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10.1080/10236198.2012.761980

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title = "Computation of universal unfolding of the double-zero bifurcation in Z2-symmetric systems by a homological method",

abstract = "We present a homological method and explicit computational formulae for normal form and universal unfolding of the double-zero bifurcation in any autonomous ordinary differential equation system with Z2-symmetry. We take the Chua's circuit as an example to show advantages of this method.",

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author = "Guojun Peng and Jiang, \{Yao Lin\}",

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AB - We present a homological method and explicit computational formulae for normal form and universal unfolding of the double-zero bifurcation in any autonomous ordinary differential equation system with Z2-symmetry. We take the Chua's circuit as an example to show advantages of this method.

KW - Z-symmetry

KW - double-zero bifurcation

KW - homological method

KW - normal form

KW - universal unfolding

UR - https://www.scopus.com/pages/publications/84883657062

U2 - 10.1080/10236198.2012.761980

DO - 10.1080/10236198.2012.761980

M3 - 文章

AN - SCOPUS:84883657062

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 9

ER -

Computation of universal unfolding of the double-zero bifurcation in Z2-symmetric systems by a homological method

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Computation of universal unfolding of the double-zero bifurcation in Z₂-symmetric systems by a homological method