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DC Field | Value | Language |
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dc.contributor.author | Furter, JE | - |
dc.date.accessioned | 2019-05-13T10:03:22Z | - |
dc.date.available | 2019-05-13T10:03:22Z | - |
dc.date.issued | 2019-07-01 | - |
dc.identifier | ORCiD: Jacques E. Furter https://orcid.org/0000-0003-4081-4175 | - |
dc.identifier | 2050140 | - |
dc.identifier.citation | Furter, J.E. (2020) 'Origin Preserving Path Formulation for Multiparameter Z<sub>2</sub>-Equivariant Corank 2 Bifurcation Problems', International Journal of Bifurcation and Chaos, 30 (09), 2050140, pp. 1-16. doi: 10.1142/S0218127420501400. | en_US |
dc.identifier.issn | 0218-1274 | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/18071 | - |
dc.description.abstract | A singularity theory, in the form of path formulation, is developed to analyze and organize the qualitative behavior of multiparameter Z<sub>2</sub>-equivariant bifurcation problems of corank 2 and their deformations when the trivial solution is preserved as parameters vary. Path formulation allows for an efficient discussion of different parameter structures with a minimal modification of the algebra between cases. We give a partial classification of one-parameter problems. With a couple of parameter hierarchies, we show that the generic bifurcation problems are 2-determined and of topological codimension-0. We also show that the preservation of the trivial solutions is an important hypotheses for multiparameter bifurcation problems. We apply our results to the bifurcation of a cylindrical panel under axial compression. | - |
dc.format.extent | 1 - 16 | - |
dc.format.medium | Print-Electronic | - |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.rights | Copyright © The Author(s) 2020. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of theCreative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, providedthe original work is properly cited. | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | equivariant bifurcation problems | en_US |
dc.subject | singularity theory | en_US |
dc.subject | path formulation | en_US |
dc.title | Origin Preserving Path Formulation for Multiparameter Z<sub>2</sub>-Equivariant Corank 2 Bifurcation Problems | en_US |
dc.title.alternative | Origin Preserving Path Formulation for Multiparameter ℤ2-Equivariant Corank 2 Bifurcation Problems | - |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1142/S0218127420501400 | - |
dc.relation.isPartOf | International Journal of Bifurcation and Chaos | - |
pubs.issue | 09 | - |
pubs.publication-status | Published | - |
pubs.volume | 30 | - |
dc.identifier.eissn | 1793-6551 | - |
dc.rights.license | https://creativecommons.org/licenses/by/4.0/legalcode-en | - |
dc.rights.holder | The Author(s) | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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FullText.pdf | Copyright © The Author(s) 2020. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of theCreative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, providedthe original work is properly cited. | 332.07 kB | Adobe PDF | View/Open |
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