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Are higher order resonances really interesting?

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Abstract

It is shown that higher order resonances of equilibria of conservative Hamiltonian systems do not give rise to an exchange of energies between the different degrees of freedom for most of the initial values on a certain long time-scale. The topology of these resonances is analysed, using Bott-Morse theory.

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  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, The Netherlands

    Jan Sanders

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  1. Jan Sanders
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Sanders, J. Are higher order resonances really interesting?. Celestial Mechanics 16, 421–440 (1977). https://doi.org/10.1007/BF01229286

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