Abstract
M. Manoel and I. Stewart ([10]) classify ℤ2 ⊕ ℤ2-equivariant bifurcation problems up to codimension 3 and 1 modal parameter, using the classical techniques of singularity theory of Golubistky and Schaeffer [8]. In this paper we classify these same problems using an alternative form: the path formulation (Theorem 6.1). One of the advantages of this method is that the calculates to obtain the normal forms are easier. Furthermore, in our classification we observe the presence of only one modal parameter in the generic core. It differs from the classical classification where the core has 2 modal parameters. We finish this work comparing our classification to the one obtained in [10].
This work was partially supported by CAPES and FAPESP.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Ferreira Costa, J.C., Sitta, A.M. (2006). Path Formulation for Z 2 ⊕ Z 2-equivariant Bifurcation Problems. In: Brasselet, JP., Ruas, M.A.S. (eds) Real and Complex Singularities. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7776-2_10
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DOI: https://doi.org/10.1007/978-3-7643-7776-2_10
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