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- W2561175745 abstract "Nekhoroshev in his celebrated paper [7] showed that under a perturbation of order e of a generic integrable Hamiltonian the actions of an arbitrary orbit vary only of the order of eb over a time interval of the order of exp(e−a). Here, a and b are positive stability exponents which depend only on the number of degrees of freedom and the steepness of the unperturbed Hamiltonian. This result was proven for Hamiltonians in action-angle-coordinates, but Nekhoroshev conjectured that it should also hold, for example, in full neighbourhoods of elliptic equilibria. In the eighties a lot of research was devoted to improving the stability exponents for the particular case of convex or quasi-convex Hamiltonians – the steepest Hamiltonians – resulting finally in the probably optimal values" @default.
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- W2561175745 date "1999-01-01" @default.
- W2561175745 modified "2023-09-25" @default.
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- W2561175745 doi "https://doi.org/10.1155/s1073792899000100" @default.
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