- Titel
- Non-smooth saddle-node bifurcations I
- Untertitel
- existence of an SNA
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa2-707074
- Quellenangabe
- Ergodic theory and dynamical systems Erscheinungsort: Cambridge
Verlag: Cambridge University Press
Erscheinungsjahr: 2017
Jahrgang: 36
Heft: 4
Seiten: 1130-1155
ISSN: 0143-3857
E-ISSN: 1469-4417 - Erstveröffentlichung
- 2016
- Abstract (EN)
- We study one-parameter families of quasi-periodically forced monotone interval maps and provide sufficient conditions for the existence of a parameter at which the respective system possesses a non-uniformly hyperbolic attractor. This is equivalent to the existence of a sink-source orbit, that is, an orbit with positive Lyapunov exponent both forwards and backwards in time. The attractor itself is a non-continuous invariant graph with negative Lyapunov exponent, often referred to as ‘SNA’. In contrast to former results in this direction, our conditions are C² -open in the fibre maps. By applying a general result about saddle-node bifurcations in skew-products, we obtain a conclusion on the occurrence of non-smooth bifurcations in the respective families. Explicit examples show the applicability of the derived statements.
- Andere Ausgabe
- Link zum Artikel der zuerst in der Zeitschrift 'Ergodic theory and dynamical systems' erschienen ist
DOI: 10.1017/etds.2014.92 - Freie Schlagwörter (DE)
- positiver und negativer Ljapunov-Exponent, Sattelknoten-Bifurkationen, nicht glatte Bifurkationen
- Freie Schlagwörter (EN)
- positive and negative Lyapunov exponent, saddle-node bifurcations, non-smooth bifurcations
- Klassifikation (DDC)
- 510
- Verlag
- Cambridge University Press, Cambridge
- Förder- / Projektangaben
- German Research Council Emmy-Noether-grant
Low-dimensional and Nonautonomous Dynamics
ID: Ja 1721/2-1 - Version / Begutachtungsstatus
- publizierte Version / Verlagsversion
- URN Qucosa
- urn:nbn:de:bsz:14-qucosa2-707074
- Veröffentlichungsdatum Qucosa
- 03.06.2020
- Dokumenttyp
- Artikel
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
