uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics. (CAPA Group)
2012 (English)In: Chaos, ISSN 1054-1500, E-ISSN 1089-7682, Vol. 22, no 3, 033114- p.Article in journal (Refereed) Published
Abstract [en]

We perform a numerical study of the breakdown of hyperbolicity of quasi-periodic attractors in the dissipative standard map. In this study, we compute the quasi-periodic attractors together with their stable and tangent bundles. We observe that the loss of normal hyperbolicity comes from the collision of the stable and tangent bundles of the quasi-periodic attractor. We provide numerical evidence that, close to the breakdown, the angle between the invariant bundles has a linear behavior with respect to the perturbing parameter. This linear behavior agrees with the universal asymptotics of the general framework of breakdown of hyperbolic quasi-periodic tori in skew product systems.

Place, publisher, year, edition, pages
2012. Vol. 22, no 3, 033114- p.
National Category
Research subject
Mathematics with specialization in Applied Mathematics
URN: urn:nbn:se:uu:diva-178589DOI: 10.1063/1.4737205ISI: 000309427500014OAI: oai:DiVA.org:uu-178589DiVA: diva2:542411
Available from: 2012-07-31 Created: 2012-07-31 Last updated: 2013-03-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Figueras, Jordi-Lluis
By organisation
Analysis and Applied Mathematics
In the same journal

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 161 hits
ReferencesLink to record
Permanent link

Direct link