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- W1965397640 endingPage "1211" @default.
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- W1965397640 abstract "We introduce fractional monodromy in order to characterize certain non-isolated critical values of the energy–momentum map of integrable Hamiltonian dynamical systems represented by nonlinear resonant two-dimensional oscillators. We give the formal mathematical definition of fractional monodromy, which is a generalization of the definition of monodromy used by other authors before. We prove that the 1:( − 2) resonant oscillator system has monodromy matrix with half-integer coefficients and discuss manifestations of this monodromy in quantum systems. Communicated by Eduard Zehnder" @default.
- W1965397640 created "2016-06-24" @default.
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- W1965397640 date "2006-10-01" @default.
- W1965397640 modified "2023-10-04" @default.
- W1965397640 title "Fractional Hamiltonian Monodromy" @default.
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- W1965397640 doi "https://doi.org/10.1007/s00023-006-0278-4" @default.
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