Nekhoroshev and KAM Stabilities in Generalized Hamiltonian Systems |
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| Authors: | Yong Li Yingfei Yi |
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| Institution: | (1) Department of Mathematics, Jilin University, Changchun, 130012, P. R. China;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA |
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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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| Keywords: | Generalized Hamiltonian systems KAM theory Nekhoroshev stability Stability exponents |
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