Abstract
The main focus of the present volume has been bifurcation problems in one state variable. In this chapter and the next we anticipate Volume II by discussing certain limited aspects of the singularity theory of bifurcation problems with several state variables. For the most part, such problems have rather high codimensions, at least in the absence of symmetry. For example, 8 is the lowest possible codimension for a bifurcation problem in three or more state variables. In two state variables, 3 is the minimum codimension. In this chapter we study bifurcation problems in two state variables with codimension 3.
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© 1985 Springer Science+Business Media New York
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Golubitsky, M., Schaeffer, D.G. (1985). Two Degrees of Freedom Without Symmetry. In: Singularities and Groups in Bifurcation Theory. Applied Mathematical Sciences, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5034-0_9
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DOI: https://doi.org/10.1007/978-1-4612-5034-0_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9533-4
Online ISBN: 978-1-4612-5034-0
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