Appendix A. Stability, the Krein–Moser theorem, and refinements and References

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Appendix A. Stability, the Krein–Moser theorem, and refinements and References
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Researchers study linear stability and bifurcations in Hamiltonian systems, using topological/combinatorial methods to refine the Krein–Moser theorem.

Authors: Agustin Moreno; Francesco Ruscelli. Table of Links Abstract Introduction Preliminaries The B-signature GIT sequence: low dimensions GIT sequence: arbitrary dimension Appendix A. Stability, the Krein–Moser theorem, and refinements and References Appendix A.

Ekeland, Ivar. Convexity methods in Hamiltonian mechanics. Ergebnisse der Mathematik und ihrer Grenzgebiete , 19. Springer-Verlag, Berlin, 1990. x+247 pp. Aydin, Cengiz. From Babylonian lunar observations to Floquet multipliers and Conley-Zehnder Indices. Preprint arXiv:2206.07803, 2022. Aydin, Cengiz; Frauenfelder, Urs; Koh, Dayung; Moreno, Agustin. Symplectic methods in space mission design. Proceedings of the 2023 AAS/AIAA Astrodynamics Specialist Conference, 2023. Broucke, R. Stability of periodic orbits in the elliptic, restricted three-body problem.

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