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Repelling invariant curves in planar discrete dynamical systems

Published online by Cambridge University Press:  17 April 2009

Francisco Esquembre
Francisco Esquembre
Affiliation:
Department of MathematicsUniversity of Murcia30071 Murcia, Spain
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Constructive, simple proofs for the existence, regularity, continuous dependence and dynamical properties of a repelling invariant curve for a discrete dynamical system of the plane with an attracting fixed point with real eigenvalues are given. These proofs can be used to generate a numerical algorithm to find these curves and to compute explicitly the dependence of the curve with respect to the system.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 469 - 481
Copyright
Copyright © Australian Mathematical Society 1994

References

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