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Hamiltonian stability in the plane

Published online by Cambridge University Press:  01 June 2000

XAVIER JARQUE
Affiliation:
Department d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, Barcelona, Spain (e-mail: xavier.jarque@uab.es)
ZBIGNIEW NITECKI
Affiliation:
Department of Mathematics, Tufts University, Medford, MA USA (e-mail: znitecki@tufts.edu)
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Abstract

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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.

Information

Type
Research Article
Copyright
2000 Cambridge University Press