Author： Li Yong Yi Yingfei
Publisher： Springer Publishing Company
ISSN： 1040-7294
Source： Journal of Dynamics and Differential Equations, Vol.18, Iss.3, 2006-07, pp. : 577-614
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Abstract
We present some Nekhoroshev stability results for nearly integrable, generalized Hamiltonian systems, which can be odd dimensional and admit a distinct number of action and angle variables. Using a simultaneous approximation technique due to Lochak, Nekhoroshev stabilities are shown for various cases of quasi-convex generalized Hamiltonian systems along with concrete estimates on stability exponents. Discussions on KAM metric stability of generalized Hamiltonian systems are also given.
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