Nekhoroshev and Kam Stabilities in Generalized Hamiltonian Systems

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Title: Nekhoroshev and Kam Stabilities in Generalized Hamiltonian Systems
Author: Li, Yong ; Yi, Yingfei
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 made.
Description: 1991 Mathematics Subject Classification. Primary 37J40.
Type: Pre-print
Date: 2003
Contributor: Georgia Institute of Technology. School of Mathematics
Jilin University. Dept. of Mathematics
Relation: CDSNS2003-393
Publisher: Georgia Institute of Technology
Subject: Effective stability
Generalized Hamiltonian systems
KAM stability
Stability exponents

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