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2009 Fifth International Conference on Natural Computation
Computation of D10-Equivariant Nonlinear Bifurcation Problems
Tianjian, China
August 14-August 16
ISBN: 978-0-7695-3736-8
ASCII Text
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Quanbao Ji, Qishao Lu, Xia Gu, "Computation of D10-Equivariant Nonlinear Bifurcation Problems," 2013 International Conference on Computing, Networking and Communications (ICNC), vol. 4, pp. 187-190, 2009 Fifth International Conference on Natural Computation, 2009.
 
 
BibTex
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@article{ 10.1109/ICNC.2009.250,
author = {Quanbao Ji and Qishao Lu and Xia Gu},
title = {Computation of D10-Equivariant Nonlinear Bifurcation Problems},
journal ={2013 International Conference on Computing, Networking and Communications (ICNC)},
volume = {4},
year = {2009},
isbn = {978-0-7695-3736-8},
pages = {187-190},
doi = {http://doi.ieeecomputersociety.org/10.1109/ICNC.2009.250},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - 2013 International Conference on Computing, Networking and Communications (ICNC)
TI - Computation of D10-Equivariant Nonlinear Bifurcation Problems
SN - 978-0-7695-3736-8
SP187
EP190
A1 - Quanbao Ji,
A1 - Qishao Lu,
A1 - Xia Gu,
PY - 2009
KW - equivariant
KW - bifurcation
KW - nontrivial
KW - symmetry breaking
VL - 4
JA - 2013 International Conference on Computing, Networking and Communications (ICNC)
ER -
 
New symmetric property, composed of equivariant condition, was generated near each bifurcation point in numerical simulation of Brusslator reaction diffusion model. It was found that when the equivariant condition is added to Brusselator model, numerical results can exhibit symmetry phenomena. Different bifurcation subgroups were verified to be the cause of the generation of this symmetry breaking property. This manifests the existence of equivariant nontrivial bifurcation solution in Brusselator model.Furthermore, it is shown that when bifurcation parameter is increased, different nontrivial bifurcation solution branches bifurcating from steady solution also appears correspondingly.
Index Terms:
equivariant, bifurcation, nontrivial, symmetry breaking
Citation:
Quanbao Ji, Qishao Lu, Xia Gu, "Computation of D10-Equivariant Nonlinear Bifurcation Problems," icnc, vol. 4, pp.187-190, 2009 Fifth International Conference on Natural Computation, 2009
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