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arXiv · 2506.19135

McGehee blowup for Lagrangian systems and instability of equilibria

J. M. Burgos
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Abstract

We prove that total instability is a generic phenomenon in the real analytic class of electromagnetic Lagrangian systems under a weak magnetism hypothesis. The main object in the proof is an adaptation of the McGehee blowup for these systems. Together with this result, new criteria for total instability are introduced for both generic and non-generic cases.

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J. M. Burgos. 2025-06-23. McGehee blowup for Lagrangian systems and instability of equilibria. https://arxiv.org/abs/2506.19135

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