Computation of universal unfolding of the double zero bifurcation in theZ2-symmetric system

DOI10.1080/00207160.2013.772986zbMath1405.34033OpenAlexW2080470516MaRDI QIDQ2875292

Guojun Peng, Changpin Li

Publication date: 14 August 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.772986

zbMATH Keywords

normal formcentre manifolduniversal unfolding\(\mathbf{Z}_{2}\)-symmetrydouble zero bifurcation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

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Cites Work

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• Symmetry-breaking bifurcation in \(O(2)\times O(2)\)-symmetric nonlinear large problems and its application to the Kuramoto-Sivashinsky equation in two spatial dimensions
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• Nonresonant Bifurcations with Symmetry
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