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• W3215677978 abstract "In this paper, we study singularities of the Lagrangian fibration given by a completely integrable system. We prove that a non-degenerate singular fibre satisfying the so-called connectedness condition is structurally stable under (small enough) real-analytic integrable perturbations of the system. In other words, the topology of the fibration in a neighbourhood of such a fibre is preserved after any such perturbation. As an illustration, we show that a saddle-saddle singularity of the Kovalevskaya top is structurally stable under real-analytic integrable perturbations, but structurally unstable under $C^infty$ smooth integrable perturbations." @default.
• W3215677978 created "2021-12-06" @default.
• W3215677978 creator A5008880274 @default.
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• W3215677978 date "2022-03-01" @default.
• W3215677978 modified "2023-10-14" @default.
• W3215677978 title "Structurally Stable Nondegenerate Singularities of Integrable Systems" @default.
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• W3215677978 doi "https://doi.org/10.1134/s106192082201006x" @default.
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