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Persistence of invariant tori in generalized Hamiltonian systems

Published online by Cambridge University Press:  06 August 2002

YONG LI  and
YINGFEI YI
YONG LI
Affiliation:
Department of Mathematics, Jilin University, Changchun, 130012, People's Republic of China (e-mail: [email protected])
YINGFEI YI
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: [email protected])
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Abstract

We present some results of KAM type, comparable to the KAM theory for volume-preserving maps and flows, for generalized Hamiltonian systems which may admit a distinct number of action and angle variables. In particular, systems under consideration can be odd dimensional. Applications to the perturbation of three-dimensional steady Euler fluid particle path flows are considered with respect to the existence problem of barriers to fluid transport and mixing.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 4 , August 2002 , pp. 1233 - 1261
Copyright
© 2002 Cambridge University Press

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