Invariant Curves of Quadratic Maps of the Plane from the One-Parameter Family Containing the Trace Map*

Invariant Curves of Quadratic Maps of the Plane from the One-Parameter Family Containing the Trace Map*

The rigorous proofs are given: (1) for the existence of the unbounded invariant curves, containing the fixed point – source (μ + 1; 1), of the maps from the one-parameter family Fμ(x,y) = (xy, (x − μ)2), μ ∈ [0, 2]; (2) for the birth of the...

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Bibliographic Details
Main Authors: Belmesova S.S., Efremova L.S., Fournier-Prunaret D.
Format: Article
Language:English
Published: EDP Sciences 2014-11-01
Series:ESAIM: Proceedings and Surveys
Subjects:
quadratic map
fixed point
invariant curve
Online Access:http://dx.doi.org/10.1051/proc/201446009

Internet

http://dx.doi.org/10.1051/proc/201446009

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