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SNA's in the Quasi-Periodic Quadratic Family
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 286, no 1, 137-161 p.Article in journal (Refereed) Published
Abstract [en]

We rigorously show that there can exist Strange Nonchaotic Attractors (SNA) in the quasi-periodically forced quadratic ( or logistic) map (theta, x) -> (theta + omega, c(theta)x(1 - x)) for certain choices of c : T bar right arrow [3/2, 4] and Diophantine omega.

Place, publisher, year, edition, pages
2009. Vol. 286, no 1, 137-161 p.
Keyword [en]
strange nonchaotic attractors, positive lyapunov exponent, minimality, equations, dynamics, map
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-18098DOI: 10.1007/s00220-008-0626-yISI: 000262411000006Scopus ID: 2-s2.0-58149487660OAI: oai:DiVA.org:kth-18098DiVA: diva2:336144
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1007/s00220-008-0626-y

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