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

School of Mathematics and Statistics

Guangdong Polytechnic Normal University
Xi'an Jiaotong University

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

7 Scopus citations

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.

Original language	English
Pages (from-to)	1501-1512
Number of pages	12
Journal	Journal of Difference Equations and Applications
Volume	19
Issue number	9
DOIs	https://doi.org/10.1080/10236198.2012.761980
State	Published - Sep 2013

Keywords

Z-symmetry
double-zero bifurcation
homological method
normal form
universal unfolding

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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.",

keywords = "Z-symmetry, double-zero bifurcation, homological method, normal form, universal unfolding",

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

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doi = "10.1080/10236198.2012.761980",

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AU - Peng, Guojun

AU - Jiang, Yao Lin

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N2 - 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.

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

SN - 1023-6198

VL - 19

SP - 1501

EP - 1512

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

Abstract

Keywords

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