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Singularities and bifurcations of 3-dimensional Poisson structure

J. -P. Dufour·M. Zhitomirskii
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Abstract

We give a normal form for families of 3-dimensional Poisson structures. This allows us to classify singularities with nonzero 1-jet and typical bifurcations. The Appendix contains corollaries on classification of families of integrable 1-forms on $R^3

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J. -P. Dufour, M. Zhitomirskii. 1998-02-25. Singularities and bifurcations of 3-dimensional Poisson structure. https://arxiv.org/abs/math/9802115

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