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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, p. 1537-1545Article 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, p. 1537-1545
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, id: 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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