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Hamiltonian stability in the plane

Published online by Cambridge University Press:  01 June 2000

XAVIER JARQUE  and
ZBIGNIEW NITECKI
XAVIER JARQUE
Affiliation:
Department d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, Barcelona, Spain (e-mail: [email protected])
ZBIGNIEW NITECKI
Affiliation:
Department of Mathematics, Tufts University, Medford, MA USA (e-mail: [email protected])
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Abstract

We characterize the Hamiltonian flows in the plane which are structurally stable (in a global sense) among Hamiltonian flows. This notion is closely related to, but distinct from, the topological stability of the generating function as a map from the plane to the line.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000 , pp. 775 - 799
Copyright
2000 Cambridge University Press

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