Artículo
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
Autor/es | Langa Rosado, José Antonio
Robinson, James C. Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2002-05 |
Fecha de depósito | 2016-04-21 |
Publicado en |
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Resumen | 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 ... 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 nonautonomous case. Inspired in part by the theory of pullback attractors, we discuss generalisations 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. |
Agencias financiadoras | Comisión Interministerial de Ciencia y Tecnología (CICYT). España Royal Society (UK) |
Identificador del proyecto | MAR98-0486 |
Cita | Langa Rosado, J.A., Robinson, J.C. y Suárez Fernández, A. (2002). Stability, instability, and bifurcation phenomena in non-autonomous differential equations. |
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