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Título:
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Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets
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Autores:
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Barge, Héctor ;
Rodríguez Sanjurjo, José Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2017
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = En prensa
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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This paper is devoted to the study of some aspects of the stability theory of flows. In particular, we study Morse decompositions induced by non-saddle sets, including their corresponding Morse equations, attractor-repeller splittings of non-saddle sets and bifurcations originated by implosions of the basin of attraction of asymptotically stable fixed points. We also characterize the non-saddle sets of the plane in terms of the Euler characteristic of their region of influence.
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En línea:
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https://eprints.ucm.es/41499/1/RodSanjurjo47.pdf
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