A geometric classification of Hamiltonian equilibria by spectral types

DOI10.1016/J.GEOMPHYS.2022.104707zbMath1505.70042OpenAlexW4308517750MaRDI QIDQ2107527

Andrea Giacobbe

Publication date: 1 December 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2022.104707

zbMATH Keywords

stabilitysingularity theorybifurcation decompositionparameter-dependent Hamiltonian systemsemialgebraic manifold

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Cites Work

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• Spectral stability of relative equilibria
• Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
• LECTURES ON BIFURCATIONS IN VERSAL FAMILIES

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