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Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets

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Barge, Héctor and Rodríguez Sanjurjo, José Manuel (2017) Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets. Journal of Dynamics and Differential Equations . pp. 1-6. ISSN 1040-7294 (In Press)

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Official URL: http://link.springer.com/article/10.1007/s10884-017-9569-3


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Attractor-repeller splitting; Bifurcation; Conley index; Morse decomposition; Non-saddle set
Subjects:Sciences > Mathematics > Differential equations
ID Code:41499
Deposited On:27 Feb 2017 11:52
Last Modified:12 Dec 2018 15:12

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