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Attractors in the quasi-periodically perturbed quadratic family
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2012 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 25, no 5, 1537-1545 p.Article in journal (Refereed) Published
Abstract [en]

We give a geometric description of an attractor arising in quasi-periodically perturbed maps T x [0, 1] (sic) (theta, x) bar right arrow (theta + omega, c(theta)x(1 - x)) is an element of T x [0, 1] for certain choices of smooth c : T -> [1.5, 4] and Diophantine omega. The existence of the 'strange' attractor was established in Bjerklov 2009 Commun. Math. Phys. 286 137.

Place, publisher, year, edition, pages
2012. Vol. 25, no 5, 1537-1545 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-100944DOI: 10.1088/0951-7715/25/5/1537ISI: 000303667000018Scopus ID: 2-s2.0-84862085057OAI: oai:DiVA.org:kth-100944DiVA: diva2:545982
Funder
Knut and Alice Wallenberg Foundation, KAW 2005.0098
Note
QC 20120822Available from: 2012-08-22 Created: 2012-08-22 Last updated: 2017-12-07Bibliographically approved

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