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- W2017650350 abstract "Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of generic Hamiltonian systems. Meyer's classification of normal forms provides a powerful tool to understand the structure of phase space dynamics in their neighborhood. We provide a pedestrian presentation of this classical theory and extend it by including systematically the periodic orbits lying in the complex plane on each side of the bifurcation. This allows for a more coherent and unified treatment of contributions of periodic orbits in semiclassical expansions. The contribution of complex fixed points is found to be exponentially small only for a particular type of bifurcation (the extremal one). In all other cases complex orbits give rise to corrections in powers of ħ and, unlike the former one, their contribution is hidden in the “shadow” of a real periodic orbit." @default.
- W2017650350 created "2016-06-24" @default.
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- W2017650350 date "1999-07-01" @default.
- W2017650350 modified "2023-09-25" @default.
- W2017650350 title "Normal Forms and Complex Periodic Orbits in Semiclassical Expansions of Hamiltonian Systems" @default.
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- W2017650350 doi "https://doi.org/10.1006/aphy.1999.5916" @default.
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