Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Fibred quadratic polynomials can admit two attracting invariant curves

Author: Mario Ponce
Journal: Proc. Amer. Math. Soc. 139 (2011), 1467-1468
MSC (2010): Primary 37F10
Published electronically: October 5, 2010
MathSciNet review: 2748440
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Abstract: We present an example of a fibred quadratic polynomial admitting two attracting invariant curves. This phenomena cannot occur in the non-fibred setting.

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Mario Ponce
Affiliation: Department of Mathematics, Pontifical Catholic University, Vicuna Mackenna Avenue, 4860 Santiago, Chile

Received by editor(s): November 19, 2009
Received by editor(s) in revised form: March 19, 2010, April 9, 2010, April 29, 2010, and May 5, 2010
Published electronically: October 5, 2010
Additional Notes: This research was partially supported by FONDECYT 11090003.
Communicated by: Bryna Kra
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.