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 1. Introduction The stability of periodic orbits is a central topic in the study of Hamiltonian systems, going back to the problem of stability of the solar system in celestial mechanics.
Stability, the Krein–Moser theorem, and refinements and References Abstract Abstract Introduction Introduction Preliminaries Preliminaries The B-signature The B-signature GIT sequence: low dimensions GIT sequence: low dimensions GIT sequence: arbitrary dimension GIT sequence: arbitrary dimension Appendix A. Stability, the Krein–Moser theorem, and refinements and References Appendix A. Stability, the Krein–Moser theorem, and refinements and References 1.
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Combinatorics of linear stability for Hamiltonian systems in arbitrary dimension: GIT sequence: lowResearchers study linear stability and bifurcations in Hamiltonian systems, using topological/combinatorial methods to refine the Krein–Moser theorem.
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