Abstract
In Chapter I, §3 we described the Liapunov—Schmidt reduction in rather special circumstances. In this chapter we generalize the method in three distinct ways, as follows:
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(i)
We consider infinite-dimensional systems.
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(ii)
We allow the linearized operator to have a multidimensional kernel.
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(iii)
We perform the reduction when the operator commutes with a compact group of symmetries.
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© 1985 Springer Science+Business Media New York
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Golubitsky, M., Schaeffer, D.G. (1985). The Liapunov—Schmidt Reduction. 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_7
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DOI: https://doi.org/10.1007/978-1-4612-5034-0_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9533-4
Online ISBN: 978-1-4612-5034-0
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