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- W1985673844 abstract "The truncation theorem for the reduction of unfoldings to normal form to specified degree in the control variables is generalized to unfoldings of singularities having non-zero rank, by using the splitting lemma generalized to unfoldings. It is shown that inhomogeneous linear state-space transformations suffice for the splitting to determine the normal forms for both singularities and unfoldings (although not the mappings). A splitting algorithm is given that may be implemented by computer algebra, and together with previous work allows an arbitrary elementary catastrophe to be reduced to normal form." @default.
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- W1985673844 date "1989-08-08" @default.
- W1985673844 modified "2023-10-14" @default.
- W1985673844 title "Truncation criteria and algorithm for the reduction to normal form of catastrophe unfoldings - II. Singularities with non-zero rank" @default.
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- W1985673844 doi "https://doi.org/10.1098/rspa.1989.0088" @default.
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