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Stability, instability, and bifurcation phenomena in non-autonomous differential equations
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UNSPECIFIED (2002) Stability, instability, and bifurcation phenomena in non-autonomous differential equations. NONLINEARITY, 15 (3). pp. 887-903. ISSN 0951-7715.
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Abstract
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential equations. However, there is currently no well-developed theory that treats similar questions for the non-autonomous case. Inspired in part by the theory of pullback attractors, we discuss generalizations of various autonomous concepts of stability, instability, and invariance. Then, by means of relatively simple examples, we illustrate how the idea of a bifurcation as a change in the structure and stability of invariant sets remains a fruitful concept in the non-autonomous case.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | NONLINEARITY | ||||
| Publisher: | IOP PUBLISHING LTD | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | May 2002 | ||||
| Dates: |
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| Volume: | 15 | ||||
| Number: | 3 | ||||
| Number of Pages: | 17 | ||||
| Page Range: | pp. 887-903 | ||||
| Publication Status: | Published |
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