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A note on the fractalization of saddle invariant curves in quasiperiodic systems
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen, Tillämpad matematik och statistik.
Univ Barcelona, Dept Matemat Aplicada & Anal, Gran Via 585, E-08007 Barcelona, Spain..
2016 (engelsk)Inngår i: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 9, nr 4, s. 1095-1107Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The purpose of this paper is to describe a new mechanism of destruction of saddle invariant curves in quasiperiodically forced systems, in which an invariant curve experiments a process of fractalization, that is, the curve gets increasingly wrinkled until it breaks down. The phenomenon resembles the one described for attracting invariant curves in a number of quasiperiodically forced dissipative systems, and that has received the attention in the literature for its connections with the so-called Strange Non-Chaotic Attractors. We present a general conceptual framework that provides a simple unifying mathematical picture for fractalization routes in dissipative and conservative systems.

sted, utgiver, år, opplag, sider
2016. Vol. 9, nr 4, s. 1095-1107
Emneord [en]
Breakdown of saddle invariant curves, quasiperiodic systems
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Identifikatorer
URN: urn:nbn:se:uu:diva-308036DOI: 10.3934/dcdss.2016043ISI: 000384764300011OAI: oai:DiVA.org:uu-308036DiVA, id: diva2:1049247
Tilgjengelig fra: 2016-11-24 Laget: 2016-11-23 Sist oppdatert: 2017-11-29bibliografisk kontrollert

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