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2006.88: Global attractors of pinched skew products

2006.88: Paul Glendinning (2002) Global attractors of pinched skew products. Dynamical Systems: an international journal, 17 (3). pp. 287-294. ISSN 1468-9367

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DOI: 10.1080/14689360210160878


A class of skew products over irrational rotations of the circle is defined which contains some systems which have strange nonchaotic attractors. The global attractor of these systems is characterized: it lies between an upper semi-continuous curve and a lower semi-continuous curve. With additional assumptions on the class of maps considered more detail of the attractor can be given.

Item Type:Article
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2006.88
Deposited By:Professor Paul Glendinning
Deposited On:17 May 2006

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