Counting periodic trajectories via topological classical mechanics

DOI10.1016/0960-0779(94)90073-6zbMath0813.58021OpenAlexW1983539103MaRDI QIDQ1331211

V. Pereyra

Publication date: 6 June 1995

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90073-6

zbMATH Keywords

phase spaceEuler numberperiodic trajectories

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of manifolds of mappings to the sciences (58D30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• Topological quantum field theory
• Topological sigma models
• Supersymmetry and Morse theory
• Zur Operatorenmethode in der klassischen Mechanik
• Morse Theory. (AM-51)
• Hamiltonian Systems and Transformation in Hilbert Space
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