Nonautonomous saddle-node bifurcations in the quasiperiodically forced logistic map
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We provide a local saddle-node bifurcation result for quasiperiodically forced interval maps. As an application, we give a rigorous description of saddle-node bifurcations of 3-periodic graphs in the quasiperiodically forced logistic map with small forcing amplitude.
Details
| Original language | English |
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| Pages (from-to) | 1427-1438 |
| Number of pages | 12 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 21 |
| Issue number | 5 |
| Publication status | Published - May 2011 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/213148707 |
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Keywords
ASJC Scopus subject areas
Keywords
- invariant graphs, logistic map, quasiperiodically forced systems, Saddle-node bifurcation