Bifurcations of Asymptotically Autonomous Differential Equations
- This article deals with bifurcation phenomena of asymptotically autonomous differential equations. Under the assumption that the underlying autonomous system admits a bifurcation of pitchfork, saddle node, transcritical or Hopf type, nonautonomous bifurcation results are obtained for both the bifurcation of attraction and repulsion areas and transitions of attractors and repellers.
| Author: | Martin RasmussenORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-5033 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/635 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2008-10) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/02/28 |
| Tag: | Asymptotisch autonome Differenzialgleichung; Transition asymptotically autonomous differential equation; transition |
| GND-Keyword: | Nichtautonomes System; Attraktor; Repellor; Dynamische Verzweigung; Autonome Differentialgleichung |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
