A note on the fractalization of saddle invariant curves in quasiperiodic systems
2016 (English)In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 9, no 4, 1095-1107 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2016. Vol. 9, no 4, 1095-1107 p.
Breakdown of saddle invariant curves, quasiperiodic systems
IdentifiersURN: urn:nbn:se:uu:diva-308036DOI: 10.3934/dcdss.2016043ISI: 000384764300011OAI: oai:DiVA.org:uu-308036DiVA: diva2:1049247