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Invariant curves around a parabolic fixed point at infinity

Published online by Cambridge University Press:  19 September 2008

Dov Aharonov  and
Uri Elias
Dov Aharonov
Affiliation:
Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel
Uri Elias
Affiliation:
Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel
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Abstract

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The stability of a fixed point of an area-preserving transformation in the plane is characterized by the invariant curves which surround it. The existence of invariant curves had been extensively studied for elliptic fixed points. Here we study the similar problem for parabolic fixed points. In particular we are interested in the case where the fixed point is at infinity.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 2 , June 1990 , pp. 209 - 229
Copyright
Copyright © Cambridge University Press 1990

References

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